Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.8 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.725676 | + | 1.21383i | −0.513130 | + | 0.858311i | ||||
\(3\) | 1.33407 | − | 1.10465i | 0.770226 | − | 0.637771i | ||||
\(4\) | −0.946789 | − | 1.76170i | −0.473394 | − | 0.880851i | ||||
\(5\) | 0.178044 | − | 0.664471i | 0.0796239 | − | 0.297161i | −0.914618 | − | 0.404319i | \(-0.867509\pi\) |
0.994242 | + | 0.107158i | \(0.0341752\pi\) | |||||||
\(6\) | 0.372762 | + | 2.42096i | 0.152179 | + | 0.988353i | ||||
\(7\) | 0.645693 | − | 1.11837i | 0.244049 | − | 0.422705i | −0.717815 | − | 0.696234i | \(-0.754858\pi\) |
0.961864 | + | 0.273529i | \(0.0881909\pi\) | |||||||
\(8\) | 2.82548 | + | 0.129179i | 0.998957 | + | 0.0456717i | ||||
\(9\) | 0.559489 | − | 2.94737i | 0.186496 | − | 0.982456i | ||||
\(10\) | 0.677355 | + | 0.698307i | 0.214199 | + | 0.220824i | ||||
\(11\) | 0.860301 | + | 3.21069i | 0.259390 | + | 0.968058i | 0.965595 | + | 0.260051i | \(0.0837392\pi\) |
−0.706205 | + | 0.708008i | \(0.749594\pi\) | |||||||
\(12\) | −3.20915 | − | 1.30436i | −0.926402 | − | 0.376537i | ||||
\(13\) | 1.27203 | − | 4.74727i | 0.352797 | − | 1.31666i | −0.530437 | − | 0.847725i | \(-0.677972\pi\) |
0.883234 | − | 0.468933i | \(-0.155361\pi\) | |||||||
\(14\) | 0.888956 | + | 1.59534i | 0.237584 | + | 0.426373i | ||||
\(15\) | −0.496485 | − | 1.08313i | −0.128192 | − | 0.279663i | ||||
\(16\) | −2.20718 | + | 3.33592i | −0.551795 | + | 0.833980i | ||||
\(17\) | 5.58523i | 1.35462i | 0.735699 | + | 0.677308i | \(0.236854\pi\) | ||||
−0.735699 | + | 0.677308i | \(0.763146\pi\) | |||||||
\(18\) | 3.17161 | + | 2.81796i | 0.747555 | + | 0.664200i | ||||
\(19\) | −2.49649 | + | 2.49649i | −0.572733 | + | 0.572733i | −0.932891 | − | 0.360158i | \(-0.882723\pi\) |
0.360158 | + | 0.932891i | \(0.382723\pi\) | |||||||
\(20\) | −1.33917 | + | 0.315453i | −0.299448 | + | 0.0705374i | ||||
\(21\) | −0.374013 | − | 2.20525i | −0.0816163 | − | 0.481226i | ||||
\(22\) | −4.52154 | − | 1.28565i | −0.963996 | − | 0.274103i | ||||
\(23\) | −2.36529 | + | 1.36560i | −0.493197 | + | 0.284747i | −0.725900 | − | 0.687801i | \(-0.758576\pi\) |
0.232703 | + | 0.972548i | \(0.425243\pi\) | |||||||
\(24\) | 3.91208 | − | 2.94883i | 0.798550 | − | 0.601928i | ||||
\(25\) | 3.92031 | + | 2.26339i | 0.784061 | + | 0.452678i | ||||
\(26\) | 4.83933 | + | 4.98901i | 0.949070 | + | 0.978426i | ||||
\(27\) | −2.50942 | − | 4.55004i | −0.482937 | − | 0.875655i | ||||
\(28\) | −2.58157 | − | 0.0786549i | −0.487872 | − | 0.0148644i | ||||
\(29\) | −0.792277 | − | 2.95682i | −0.147122 | − | 0.549067i | −0.999652 | − | 0.0263884i | \(-0.991599\pi\) |
0.852530 | − | 0.522679i | \(-0.175067\pi\) | |||||||
\(30\) | 1.67503 | + | 0.183349i | 0.305817 | + | 0.0334749i | ||||
\(31\) | −5.28160 | + | 3.04933i | −0.948604 | + | 0.547677i | −0.892647 | − | 0.450757i | \(-0.851154\pi\) |
−0.0559568 | + | 0.998433i | \(0.517821\pi\) | |||||||
\(32\) | −2.44755 | − | 5.09995i | −0.432671 | − | 0.901552i | ||||
\(33\) | 4.69439 | + | 3.33295i | 0.817189 | + | 0.580192i | ||||
\(34\) | −6.77954 | − | 4.05307i | −1.16268 | − | 0.695095i | ||||
\(35\) | −0.628165 | − | 0.628165i | −0.106179 | − | 0.106179i | ||||
\(36\) | −5.72210 | + | 1.80488i | −0.953683 | + | 0.300814i | ||||
\(37\) | 0.507420 | − | 0.507420i | 0.0834193 | − | 0.0834193i | −0.664166 | − | 0.747585i | \(-0.731213\pi\) |
0.747585 | + | 0.664166i | \(0.231213\pi\) | |||||||
\(38\) | −1.21868 | − | 4.84196i | −0.197696 | − | 0.785470i | ||||
\(39\) | −3.54711 | − | 7.73835i | −0.567992 | − | 1.23913i | ||||
\(40\) | 0.588896 | − | 1.85445i | 0.0931127 | − | 0.293214i | ||||
\(41\) | −4.89892 | − | 8.48518i | −0.765083 | − | 1.32516i | −0.940203 | − | 0.340616i | \(-0.889365\pi\) |
0.175120 | − | 0.984547i | \(-0.443969\pi\) | |||||||
\(42\) | 2.94823 | + | 1.14631i | 0.454921 | + | 0.176880i | ||||
\(43\) | −0.949956 | + | 0.254540i | −0.144867 | + | 0.0388170i | −0.330524 | − | 0.943798i | \(-0.607225\pi\) |
0.185657 | + | 0.982615i | \(0.440559\pi\) | |||||||
\(44\) | 4.84175 | − | 4.55544i | 0.729921 | − | 0.686758i | ||||
\(45\) | −1.85883 | − | 0.896527i | −0.277097 | − | 0.133646i | ||||
\(46\) | 0.0588204 | − | 3.86205i | 0.00867260 | − | 0.569428i | ||||
\(47\) | −6.13774 | + | 10.6309i | −0.895281 | + | 1.55067i | −0.0618250 | + | 0.998087i | \(0.519692\pi\) |
−0.833456 | + | 0.552586i | \(0.813641\pi\) | |||||||
\(48\) | 0.740492 | + | 6.88852i | 0.106881 | + | 0.994272i | ||||
\(49\) | 2.66616 | + | 4.61793i | 0.380880 | + | 0.659704i | ||||
\(50\) | −5.59225 | + | 3.11611i | −0.790864 | + | 0.440685i | ||||
\(51\) | 6.16973 | + | 7.45109i | 0.863935 | + | 1.04336i | ||||
\(52\) | −9.56762 | + | 2.25373i | −1.32679 | + | 0.312537i | ||||
\(53\) | 0.601793 | + | 0.601793i | 0.0826626 | + | 0.0826626i | 0.747229 | − | 0.664567i | \(-0.231384\pi\) |
−0.664567 | + | 0.747229i | \(0.731384\pi\) | |||||||
\(54\) | 7.34401 | + | 0.255835i | 0.999394 | + | 0.0348147i | ||||
\(55\) | 2.28658 | 0.308322 | ||||||||
\(56\) | 1.96886 | − | 3.07653i | 0.263100 | − | 0.411118i | ||||
\(57\) | −0.572741 | + | 6.08824i | −0.0758614 | + | 0.806407i | ||||
\(58\) | 4.16402 | + | 1.18400i | 0.546763 | + | 0.155467i | ||||
\(59\) | 4.77715 | + | 1.28003i | 0.621932 | + | 0.166646i | 0.556006 | − | 0.831178i | \(-0.312333\pi\) |
0.0659263 | + | 0.997824i | \(0.479000\pi\) | |||||||
\(60\) | −1.43808 | + | 1.90015i | −0.185656 | + | 0.245309i | ||||
\(61\) | 10.8292 | − | 2.90167i | 1.38653 | − | 0.371520i | 0.513043 | − | 0.858363i | \(-0.328518\pi\) |
0.873490 | + | 0.486842i | \(0.161851\pi\) | |||||||
\(62\) | 0.131344 | − | 8.62382i | 0.0166807 | − | 1.09523i | ||||
\(63\) | −2.93500 | − | 2.52881i | −0.369775 | − | 0.318600i | ||||
\(64\) | 7.96663 | + | 0.729984i | 0.995828 | + | 0.0912480i | ||||
\(65\) | −2.92795 | − | 1.69045i | −0.363167 | − | 0.209675i | ||||
\(66\) | −7.45226 | + | 3.27957i | −0.917309 | + | 0.403688i | ||||
\(67\) | 0.110351 | + | 0.0295686i | 0.0134816 | + | 0.00361238i | 0.265554 | − | 0.964096i | \(-0.414445\pi\) |
−0.252072 | + | 0.967708i | \(0.581112\pi\) | |||||||
\(68\) | 9.83950 | − | 5.28803i | 1.19321 | − | 0.641268i | ||||
\(69\) | −1.64695 | + | 4.43463i | −0.198269 | + | 0.533866i | ||||
\(70\) | 1.21833 | − | 0.306644i | 0.145619 | − | 0.0366510i | ||||
\(71\) | − | 0.0447904i | − | 0.00531565i | −0.999996 | − | 0.00265782i | \(-0.999154\pi\) | ||
0.999996 | − | 0.00265782i | \(-0.000846013\pi\) | |||||||
\(72\) | 1.96156 | − | 8.25544i | 0.231172 | − | 0.972913i | ||||
\(73\) | 13.2931i | 1.55585i | 0.628360 | + | 0.777923i | \(0.283726\pi\) | ||||
−0.628360 | + | 0.777923i | \(0.716274\pi\) | |||||||
\(74\) | 0.247701 | + | 0.984146i | 0.0287947 | + | 0.114405i | ||||
\(75\) | 7.73022 | − | 1.31105i | 0.892609 | − | 0.151387i | ||||
\(76\) | 6.76171 | + | 2.03442i | 0.775621 | + | 0.233364i | ||||
\(77\) | 4.14624 | + | 1.11098i | 0.472507 | + | 0.126608i | ||||
\(78\) | 11.9671 | + | 1.30993i | 1.35501 | + | 0.148320i | ||||
\(79\) | −2.50052 | − | 1.44368i | −0.281331 | − | 0.162426i | 0.352695 | − | 0.935738i | \(-0.385265\pi\) |
−0.634026 | + | 0.773312i | \(0.718599\pi\) | |||||||
\(80\) | 1.82364 | + | 2.06055i | 0.203890 | + | 0.230377i | ||||
\(81\) | −8.37394 | − | 3.29804i | −0.930438 | − | 0.366449i | ||||
\(82\) | 13.8546 | + | 0.211011i | 1.52999 | + | 0.0233023i | ||||
\(83\) | 3.79568 | − | 1.01705i | 0.416630 | − | 0.111636i | −0.0444135 | − | 0.999013i | \(-0.514142\pi\) |
0.461043 | + | 0.887378i | \(0.347475\pi\) | |||||||
\(84\) | −3.53089 | + | 2.74681i | −0.385252 | + | 0.299701i | ||||
\(85\) | 3.71122 | + | 0.994419i | 0.402539 | + | 0.107860i | ||||
\(86\) | 0.380391 | − | 1.33780i | 0.0410186 | − | 0.144259i | ||||
\(87\) | −4.32321 | − | 3.06941i | −0.463497 | − | 0.329076i | ||||
\(88\) | 2.01601 | + | 9.18285i | 0.214907 | + | 0.978895i | ||||
\(89\) | −12.7362 | −1.35003 | −0.675017 | − | 0.737802i | \(-0.735864\pi\) | ||||
−0.675017 | + | 0.737802i | \(0.735864\pi\) | |||||||
\(90\) | 2.43714 | − | 1.60572i | 0.256897 | − | 0.169258i | ||||
\(91\) | −4.48788 | − | 4.48788i | −0.470458 | − | 0.470458i | ||||
\(92\) | 4.64521 | + | 2.87400i | 0.484296 | + | 0.299635i | ||||
\(93\) | −3.67758 | + | 9.90236i | −0.381347 | + | 1.02683i | ||||
\(94\) | −8.45011 | − | 15.1648i | −0.871563 | − | 1.56413i | ||||
\(95\) | 1.21436 | + | 2.10333i | 0.124590 | + | 0.215797i | ||||
\(96\) | −8.89888 | − | 4.10000i | −0.908238 | − | 0.418454i | ||||
\(97\) | 4.41066 | − | 7.63949i | 0.447835 | − | 0.775673i | −0.550410 | − | 0.834895i | \(-0.685529\pi\) |
0.998245 | + | 0.0592215i | \(0.0188618\pi\) | |||||||
\(98\) | −7.54017 | − | 0.114840i | −0.761672 | − | 0.0116005i | ||||
\(99\) | 9.94440 | − | 0.739279i | 0.999450 | − | 0.0743004i | ||||
\(100\) | 0.275714 | − | 9.04936i | 0.0275714 | − | 0.904936i | ||||
\(101\) | −7.02523 | + | 1.88240i | −0.699037 | + | 0.187306i | −0.590799 | − | 0.806819i | \(-0.701187\pi\) |
−0.108238 | + | 0.994125i | \(0.534521\pi\) | |||||||
\(102\) | −13.5216 | + | 2.08196i | −1.33884 | + | 0.206145i | ||||
\(103\) | 9.50698 | + | 16.4666i | 0.936750 | + | 1.62250i | 0.771483 | + | 0.636250i | \(0.219515\pi\) |
0.165267 | + | 0.986249i | \(0.447151\pi\) | |||||||
\(104\) | 4.20733 | − | 13.2490i | 0.412563 | − | 1.29917i | ||||
\(105\) | −1.53192 | − | 0.144113i | −0.149500 | − | 0.0140640i | ||||
\(106\) | −1.16718 | + | 0.293770i | −0.113367 | + | 0.0285335i | ||||
\(107\) | 8.28797 | − | 8.28797i | 0.801228 | − | 0.801228i | −0.182060 | − | 0.983287i | \(-0.558276\pi\) |
0.983287 | + | 0.182060i | \(0.0582764\pi\) | |||||||
\(108\) | −5.63992 | + | 8.72877i | −0.542701 | + | 0.839926i | ||||
\(109\) | −14.3799 | − | 14.3799i | −1.37735 | − | 1.37735i | −0.849074 | − | 0.528273i | \(-0.822840\pi\) |
−0.528273 | − | 0.849074i | \(-0.677160\pi\) | |||||||
\(110\) | −1.65932 | + | 2.77553i | −0.158210 | + | 0.264636i | ||||
\(111\) | 0.116412 | − | 1.23746i | 0.0110493 | − | 0.117454i | ||||
\(112\) | 2.30564 | + | 4.62243i | 0.217862 | + | 0.436779i | ||||
\(113\) | −2.18778 | + | 1.26312i | −0.205809 | + | 0.118824i | −0.599362 | − | 0.800478i | \(-0.704579\pi\) |
0.393553 | + | 0.919302i | \(0.371246\pi\) | |||||||
\(114\) | −6.97449 | − | 5.11330i | −0.653221 | − | 0.478904i | ||||
\(115\) | 0.486275 | + | 1.81480i | 0.0453454 | + | 0.169231i | ||||
\(116\) | −4.45891 | + | 4.19524i | −0.413999 | + | 0.389518i | ||||
\(117\) | −13.2803 | − | 6.40518i | −1.22776 | − | 0.592159i | ||||
\(118\) | −5.02042 | + | 4.86978i | −0.462167 | + | 0.448300i | ||||
\(119\) | 6.24637 | + | 3.60634i | 0.572604 | + | 0.330593i | ||||
\(120\) | −1.26289 | − | 3.12449i | −0.115286 | − | 0.285226i | ||||
\(121\) | −0.0421101 | + | 0.0243123i | −0.00382819 | + | 0.00221021i | ||||
\(122\) | −4.33632 | + | 15.2505i | −0.392592 | + | 1.38071i | ||||
\(123\) | −15.9087 | − | 5.90823i | −1.43444 | − | 0.532727i | ||||
\(124\) | 10.3726 | + | 6.41753i | 0.931485 | + | 0.576311i | ||||
\(125\) | 4.63408 | − | 4.63408i | 0.414485 | − | 0.414485i | ||||
\(126\) | 5.19942 | − | 1.72750i | 0.463201 | − | 0.153898i | ||||
\(127\) | − | 17.5157i | − | 1.55427i | −0.629333 | − | 0.777135i | \(-0.716672\pi\) | ||
0.629333 | − | 0.777135i | \(-0.283328\pi\) | |||||||
\(128\) | −6.66727 | + | 9.14043i | −0.589309 | + | 0.807908i | ||||
\(129\) | −0.986131 | + | 1.38895i | −0.0868240 | + | 0.122290i | ||||
\(130\) | 4.17667 | − | 2.32733i | 0.366318 | − | 0.204120i | ||||
\(131\) | 3.21241 | − | 11.9889i | 0.280669 | − | 1.04747i | −0.671277 | − | 0.741207i | \(-0.734254\pi\) |
0.951946 | − | 0.306266i | \(-0.0990796\pi\) | |||||||
\(132\) | 1.42706 | − | 11.4257i | 0.124210 | − | 0.994481i | ||||
\(133\) | 1.18004 | + | 4.40397i | 0.102322 | + | 0.381872i | ||||
\(134\) | −0.115971 | + | 0.112491i | −0.0100183 | + | 0.00971776i | ||||
\(135\) | −3.47016 | + | 0.857326i | −0.298663 | + | 0.0737869i | ||||
\(136\) | −0.721494 | + | 15.7809i | −0.0618676 | + | 1.35320i | ||||
\(137\) | 5.00063 | − | 8.66134i | 0.427232 | − | 0.739988i | −0.569394 | − | 0.822065i | \(-0.692822\pi\) |
0.996626 | + | 0.0820768i | \(0.0261553\pi\) | |||||||
\(138\) | −4.18775 | − | 5.21722i | −0.356485 | − | 0.444120i | ||||
\(139\) | −0.368654 | + | 1.37583i | −0.0312688 | + | 0.116697i | −0.979796 | − | 0.199998i | \(-0.935906\pi\) |
0.948528 | + | 0.316695i | \(0.102573\pi\) | |||||||
\(140\) | −0.511899 | + | 1.70138i | −0.0432634 | + | 0.143793i | ||||
\(141\) | 3.55524 | + | 20.9624i | 0.299405 | + | 1.76535i | ||||
\(142\) | 0.0543682 | + | 0.0325034i | 0.00456248 | + | 0.00272762i | ||||
\(143\) | 16.3363 | 1.36611 | ||||||||
\(144\) | 8.59728 | + | 8.37178i | 0.716440 | + | 0.697649i | ||||
\(145\) | −2.10578 | −0.174876 | ||||||||
\(146\) | −16.1357 | − | 9.64652i | −1.33540 | − | 0.798352i | ||||
\(147\) | 8.65805 | + | 3.21546i | 0.714104 | + | 0.265207i | ||||
\(148\) | −1.37434 | − | 0.413503i | −0.112970 | − | 0.0339897i | ||||
\(149\) | 1.48172 | − | 5.52986i | 0.121387 | − | 0.453024i | −0.878298 | − | 0.478114i | \(-0.841321\pi\) |
0.999685 | + | 0.0250901i | \(0.00798725\pi\) | |||||||
\(150\) | −4.01824 | + | 10.3346i | −0.328088 | + | 0.843817i | ||||
\(151\) | 8.10127 | − | 14.0318i | 0.659272 | − | 1.14189i | −0.321533 | − | 0.946899i | \(-0.604198\pi\) |
0.980804 | − | 0.194994i | \(-0.0624687\pi\) | |||||||
\(152\) | −7.37625 | + | 6.73127i | −0.598293 | + | 0.545978i | ||||
\(153\) | 16.4617 | + | 3.12487i | 1.33085 | + | 0.252631i | ||||
\(154\) | −4.35737 | + | 4.22663i | −0.351127 | + | 0.340592i | ||||
\(155\) | 1.08583 | + | 4.05239i | 0.0872163 | + | 0.325496i | ||||
\(156\) | −10.2743 | + | 13.5755i | −0.822602 | + | 1.08691i | ||||
\(157\) | −2.02762 | + | 7.56718i | −0.161822 | + | 0.603927i | 0.836602 | + | 0.547810i | \(0.184538\pi\) |
−0.998424 | + | 0.0561165i | \(0.982128\pi\) | |||||||
\(158\) | 3.56695 | − | 1.98758i | 0.283772 | − | 0.158123i | ||||
\(159\) | 1.46761 | + | 0.138063i | 0.116389 | + | 0.0109491i | ||||
\(160\) | −3.82454 | + | 0.718311i | −0.302357 | + | 0.0567875i | ||||
\(161\) | 3.52703i | 0.277969i | ||||||||
\(162\) | 10.0800 | − | 7.77128i | 0.791963 | − | 0.610569i | ||||
\(163\) | −4.89763 | + | 4.89763i | −0.383612 | + | 0.383612i | −0.872402 | − | 0.488789i | \(-0.837439\pi\) |
0.488789 | + | 0.872402i | \(0.337439\pi\) | |||||||
\(164\) | −10.3101 | + | 16.6641i | −0.805084 | + | 1.30125i | ||||
\(165\) | 3.05046 | − | 2.52587i | 0.237478 | − | 0.196639i | ||||
\(166\) | −1.51990 | + | 5.34537i | −0.117967 | + | 0.414882i | ||||
\(167\) | −18.7832 | + | 10.8445i | −1.45349 | + | 0.839174i | −0.998677 | − | 0.0514129i | \(-0.983628\pi\) |
−0.454814 | + | 0.890587i | \(0.650294\pi\) | |||||||
\(168\) | −0.771891 | − | 6.27921i | −0.0595527 | − | 0.484451i | ||||
\(169\) | −9.66023 | − | 5.57734i | −0.743095 | − | 0.429026i | ||||
\(170\) | −3.90021 | + | 3.78318i | −0.299132 | + | 0.290157i | ||||
\(171\) | 5.96130 | + | 8.75482i | 0.455872 | + | 0.669497i | ||||
\(172\) | 1.34783 | + | 1.43254i | 0.102771 | + | 0.109230i | ||||
\(173\) | −2.05946 | − | 7.68601i | −0.156578 | − | 0.584356i | −0.998965 | − | 0.0454836i | \(-0.985517\pi\) |
0.842387 | − | 0.538873i | \(-0.181150\pi\) | |||||||
\(174\) | 6.86301 | − | 3.02026i | 0.520283 | − | 0.228965i | ||||
\(175\) | 5.06263 | − | 2.92291i | 0.382699 | − | 0.220951i | ||||
\(176\) | −12.6094 | − | 4.21668i | −0.950471 | − | 0.317844i | ||||
\(177\) | 7.78705 | − | 3.56944i | 0.585311 | − | 0.268295i | ||||
\(178\) | 9.24236 | − | 15.4596i | 0.692744 | − | 1.15875i | ||||
\(179\) | −9.47991 | − | 9.47991i | −0.708562 | − | 0.708562i | 0.257671 | − | 0.966233i | \(-0.417045\pi\) |
−0.966233 | + | 0.257671i | \(0.917045\pi\) | |||||||
\(180\) | 0.180504 | + | 4.12352i | 0.0134540 | + | 0.307349i | ||||
\(181\) | 8.00075 | − | 8.00075i | 0.594691 | − | 0.594691i | −0.344204 | − | 0.938895i | \(-0.611851\pi\) |
0.938895 | + | 0.344204i | \(0.111851\pi\) | |||||||
\(182\) | 8.70430 | − | 2.19080i | 0.645206 | − | 0.162393i | ||||
\(183\) | 11.2415 | − | 15.8335i | 0.830999 | − | 1.17045i | ||||
\(184\) | −6.85947 | + | 3.55292i | −0.505687 | + | 0.261925i | ||||
\(185\) | −0.246822 | − | 0.427509i | −0.0181467 | − | 0.0314311i | ||||
\(186\) | −9.35110 | − | 11.6499i | −0.685656 | − | 0.854210i | ||||
\(187\) | −17.9324 | + | 4.80498i | −1.31135 | + | 0.351375i | ||||
\(188\) | 24.5396 | + | 0.747667i | 1.78973 | + | 0.0545292i | ||||
\(189\) | −6.70895 | − | 0.131462i | −0.488004 | − | 0.00956248i | ||||
\(190\) | −3.43432 | − | 0.0523060i | −0.249152 | − | 0.00379468i | ||||
\(191\) | 9.22986 | − | 15.9866i | 0.667850 | − | 1.15675i | −0.310655 | − | 0.950523i | \(-0.600548\pi\) |
0.978504 | − | 0.206227i | \(-0.0661184\pi\) | |||||||
\(192\) | 11.4344 | − | 7.82650i | 0.825208 | − | 0.564829i | ||||
\(193\) | 2.61643 | + | 4.53179i | 0.188335 | + | 0.326205i | 0.944695 | − | 0.327950i | \(-0.106358\pi\) |
−0.756360 | + | 0.654155i | \(0.773024\pi\) | |||||||
\(194\) | 6.07237 | + | 10.8976i | 0.435971 | + | 0.782403i | ||||
\(195\) | −5.77345 | + | 0.979182i | −0.413445 | + | 0.0701207i | ||||
\(196\) | 5.61111 | − | 9.06918i | 0.400794 | − | 0.647799i | ||||
\(197\) | 14.3573 | + | 14.3573i | 1.02292 | + | 1.02292i | 0.999731 | + | 0.0231869i | \(0.00738128\pi\) |
0.0231869 | + | 0.999731i | \(0.492619\pi\) | |||||||
\(198\) | −6.31905 | + | 12.6073i | −0.449075 | + | 0.895964i | ||||
\(199\) | −13.8358 | −0.980797 | −0.490399 | − | 0.871498i | \(-0.663149\pi\) | ||||
−0.490399 | + | 0.871498i | \(0.663149\pi\) | |||||||
\(200\) | 10.7843 | + | 6.90157i | 0.762568 | + | 0.488015i | ||||
\(201\) | 0.179880 | − | 0.0824533i | 0.0126877 | − | 0.00581581i | ||||
\(202\) | 2.81311 | − | 9.89348i | 0.197930 | − | 0.696103i | ||||
\(203\) | −3.81839 | − | 1.02314i | −0.267999 | − | 0.0718100i | ||||
\(204\) | 7.28516 | − | 17.9238i | 0.510063 | − | 1.25492i | ||||
\(205\) | −6.51038 | + | 1.74445i | −0.454705 | + | 0.121838i | ||||
\(206\) | −26.8867 | − | 0.409494i | −1.87328 | − | 0.0285308i | ||||
\(207\) | 2.70157 | + | 7.73541i | 0.187772 | + | 0.537648i | ||||
\(208\) | 13.0289 | + | 14.7215i | 0.903393 | + | 1.02075i | ||||
\(209\) | −10.1632 | − | 5.86770i | −0.703001 | − | 0.405878i | ||||
\(210\) | 1.28661 | − | 1.75492i | 0.0887842 | − | 0.121101i | ||||
\(211\) | −25.6481 | − | 6.87239i | −1.76569 | − | 0.473115i | −0.777831 | − | 0.628473i | \(-0.783680\pi\) |
−0.987858 | + | 0.155358i | \(0.950347\pi\) | |||||||
\(212\) | 0.490408 | − | 1.62995i | 0.0336814 | − | 0.111945i | ||||
\(213\) | −0.0494778 | − | 0.0597536i | −0.00339017 | − | 0.00409425i | ||||
\(214\) | 4.04584 | + | 16.0746i | 0.276568 | + | 1.09884i | ||||
\(215\) | 0.676538i | 0.0461395i | ||||||||
\(216\) | −6.50253 | − | 13.1802i | −0.442441 | − | 0.896798i | ||||
\(217\) | 7.87574i | 0.534640i | ||||||||
\(218\) | 27.8900 | − | 7.01969i | 1.88895 | − | 0.475433i | ||||
\(219\) | 14.6843 | + | 17.7340i | 0.992273 | + | 1.19835i | ||||
\(220\) | −2.16491 | − | 4.02827i | −0.145958 | − | 0.271586i | ||||
\(221\) | 26.5146 | + | 7.10457i | 1.78357 | + | 0.477905i | ||||
\(222\) | 1.41759 | + | 1.03930i | 0.0951424 | + | 0.0697530i | ||||
\(223\) | 2.77266 | + | 1.60079i | 0.185671 | + | 0.107197i | 0.589954 | − | 0.807437i | \(-0.299146\pi\) |
−0.404284 | + | 0.914634i | \(0.632479\pi\) | |||||||
\(224\) | −7.28401 | − | 0.555723i | −0.486684 | − | 0.0371308i | ||||
\(225\) | 8.86441 | − | 10.2882i | 0.590960 | − | 0.685882i | ||||
\(226\) | 0.0544063 | − | 3.57222i | 0.00361905 | − | 0.237621i | ||||
\(227\) | 2.78291 | − | 0.745680i | 0.184708 | − | 0.0494925i | −0.165279 | − | 0.986247i | \(-0.552852\pi\) |
0.349988 | + | 0.936754i | \(0.386186\pi\) | |||||||
\(228\) | 11.2679 | − | 4.75528i | 0.746236 | − | 0.314926i | ||||
\(229\) | −17.6277 | − | 4.72334i | −1.16487 | − | 0.312127i | −0.375963 | − | 0.926635i | \(-0.622688\pi\) |
−0.788911 | + | 0.614508i | \(0.789355\pi\) | |||||||
\(230\) | −2.55575 | − | 0.726701i | −0.168521 | − | 0.0479173i | ||||
\(231\) | 6.75862 | − | 3.09802i | 0.444684 | − | 0.203835i | ||||
\(232\) | −1.85660 | − | 8.45676i | −0.121892 | − | 0.555214i | ||||
\(233\) | 6.00585 | 0.393456 | 0.196728 | − | 0.980458i | \(-0.436968\pi\) | ||||
0.196728 | + | 0.980458i | \(0.436968\pi\) | |||||||
\(234\) | 17.4120 | − | 11.4720i | 1.13826 | − | 0.749946i | ||||
\(235\) | 5.97112 | + | 5.97112i | 0.389513 | + | 0.389513i | ||||
\(236\) | −2.26792 | − | 9.62784i | −0.147629 | − | 0.626719i | ||||
\(237\) | −4.93063 | + | 0.836239i | −0.320279 | + | 0.0543196i | ||||
\(238\) | −8.91034 | + | 4.96502i | −0.577572 | + | 0.321835i | ||||
\(239\) | 6.00788 | + | 10.4059i | 0.388617 | + | 0.673105i | 0.992264 | − | 0.124147i | \(-0.0396195\pi\) |
−0.603647 | + | 0.797252i | \(0.706286\pi\) | |||||||
\(240\) | 4.70906 | + | 0.734427i | 0.303969 | + | 0.0474071i | ||||
\(241\) | 1.51923 | − | 2.63138i | 0.0978622 | − | 0.169502i | −0.812937 | − | 0.582351i | \(-0.802133\pi\) |
0.910800 | + | 0.412849i | \(0.135466\pi\) | |||||||
\(242\) | 0.00104720 | − | 0.0687575i | 6.73167e−5 | − | 0.00441990i | ||||
\(243\) | −14.8146 | + | 4.85048i | −0.950358 | + | 0.311158i | ||||
\(244\) | −15.3648 | − | 16.3305i | −0.983631 | − | 1.04545i | ||||
\(245\) | 3.54317 | − | 0.949391i | 0.226365 | − | 0.0606543i | ||||
\(246\) | 18.7162 | − | 15.0230i | 1.19330 | − | 0.957834i | ||||
\(247\) | 8.67590 | + | 15.0271i | 0.552034 | + | 0.956152i | ||||
\(248\) | −15.3169 | + | 7.93355i | −0.972627 | + | 0.503781i | ||||
\(249\) | 3.94022 | − | 5.54972i | 0.249701 | − | 0.351699i | ||||
\(250\) | 2.26217 | + | 8.98784i | 0.143072 | + | 0.568441i | ||||
\(251\) | 2.95387 | − | 2.95387i | 0.186447 | − | 0.186447i | −0.607711 | − | 0.794158i | \(-0.707912\pi\) |
0.794158 | + | 0.607711i | \(0.207912\pi\) | |||||||
\(252\) | −1.67619 | + | 7.56484i | −0.105590 | + | 0.476540i | ||||
\(253\) | −6.41937 | − | 6.41937i | −0.403582 | − | 0.403582i | ||||
\(254\) | 21.2612 | + | 12.7108i | 1.33405 | + | 0.797544i | ||||
\(255\) | 6.04952 | − | 2.77298i | 0.378836 | − | 0.173651i | ||||
\(256\) | −6.25670 | − | 14.7260i | −0.391044 | − | 0.920372i | ||||
\(257\) | 1.67398 | − | 0.966474i | 0.104420 | − | 0.0602870i | −0.446880 | − | 0.894594i | \(-0.647465\pi\) |
0.551301 | + | 0.834307i | \(0.314132\pi\) | |||||||
\(258\) | −0.970339 | − | 2.20492i | −0.0604106 | − | 0.137273i | ||||
\(259\) | −0.239847 | − | 0.895122i | −0.0149034 | − | 0.0556202i | ||||
\(260\) | −0.205922 | + | 6.75867i | −0.0127707 | + | 0.419155i | ||||
\(261\) | −9.15810 | + | 0.680824i | −0.566872 | + | 0.0421420i | ||||
\(262\) | 12.2213 | + | 12.5994i | 0.755037 | + | 0.778392i | ||||
\(263\) | −1.51993 | − | 0.877533i | −0.0937230 | − | 0.0541110i | 0.452406 | − | 0.891812i | \(-0.350566\pi\) |
−0.546129 | + | 0.837701i | \(0.683899\pi\) | |||||||
\(264\) | 12.8333 | + | 10.0236i | 0.789838 | + | 0.616909i | ||||
\(265\) | 0.507020 | − | 0.292728i | 0.0311460 | − | 0.0179821i | ||||
\(266\) | −6.20201 | − | 1.76348i | −0.380270 | − | 0.108126i | ||||
\(267\) | −16.9910 | + | 14.0691i | −1.03983 | + | 0.861013i | ||||
\(268\) | −0.0523885 | − | 0.222401i | −0.00320014 | − | 0.0135853i | ||||
\(269\) | −14.2013 | + | 14.2013i | −0.865871 | + | 0.865871i | −0.992012 | − | 0.126141i | \(-0.959741\pi\) |
0.126141 | + | 0.992012i | \(0.459741\pi\) | |||||||
\(270\) | 1.47756 | − | 4.83434i | 0.0899212 | − | 0.294208i | ||||
\(271\) | 11.3712i | 0.690754i | 0.938464 | + | 0.345377i | \(0.112249\pi\) | ||||
−0.938464 | + | 0.345377i | \(0.887751\pi\) | |||||||
\(272\) | −18.6319 | − | 12.3276i | −1.12972 | − | 0.747471i | ||||
\(273\) | −10.9447 | − | 1.02961i | −0.662404 | − | 0.0623145i | ||||
\(274\) | 6.88460 | + | 12.3553i | 0.415914 | + | 0.746409i | ||||
\(275\) | −3.89439 | + | 14.5341i | −0.234841 | + | 0.876437i | ||||
\(276\) | 9.37180 | − | 1.29722i | 0.564116 | − | 0.0780836i | ||||
\(277\) | 1.81439 | + | 6.77138i | 0.109016 | + | 0.406853i | 0.998770 | − | 0.0495877i | \(-0.0157907\pi\) |
−0.889754 | + | 0.456441i | \(0.849124\pi\) | |||||||
\(278\) | −1.40251 | − | 1.44589i | −0.0841171 | − | 0.0867190i | ||||
\(279\) | 6.03251 | + | 17.2729i | 0.361157 | + | 1.03410i | ||||
\(280\) | −1.69372 | − | 1.85601i | −0.101219 | − | 0.110918i | ||||
\(281\) | 5.16379 | − | 8.94395i | 0.308046 | − | 0.533552i | −0.669889 | − | 0.742461i | \(-0.733658\pi\) |
0.977935 | + | 0.208910i | \(0.0669916\pi\) | |||||||
\(282\) | −28.0248 | − | 10.8964i | −1.66885 | − | 0.648874i | ||||
\(283\) | 6.25018 | − | 23.3260i | 0.371535 | − | 1.38659i | −0.486807 | − | 0.873509i | \(-0.661839\pi\) |
0.858342 | − | 0.513078i | \(-0.171495\pi\) | |||||||
\(284\) | −0.0789074 | + | 0.0424071i | −0.00468229 | + | 0.00251640i | ||||
\(285\) | 3.94348 | + | 1.46455i | 0.233592 | + | 0.0867523i | ||||
\(286\) | −11.8549 | + | 19.8296i | −0.700994 | + | 1.17255i | ||||
\(287\) | −12.6528 | −0.746871 | ||||||||
\(288\) | −16.4008 | + | 4.36048i | −0.966426 | + | 0.256944i | ||||
\(289\) | −14.1948 | −0.834987 | ||||||||
\(290\) | 1.52811 | − | 2.55607i | 0.0897340 | − | 0.150098i | ||||
\(291\) | −2.55484 | − | 15.0639i | −0.149768 | − | 0.883060i | ||||
\(292\) | 23.4186 | − | 12.5858i | 1.37047 | − | 0.736529i | ||||
\(293\) | −5.04554 | + | 18.8302i | −0.294763 | + | 1.10007i | 0.646642 | + | 0.762794i | \(0.276173\pi\) |
−0.941405 | + | 0.337278i | \(0.890494\pi\) | |||||||
\(294\) | −10.1860 | + | 8.17606i | −0.594058 | + | 0.476837i | ||||
\(295\) | 1.70109 | − | 2.94638i | 0.0990414 | − | 0.171545i | ||||
\(296\) | 1.49925 | − | 1.36815i | 0.0871421 | − | 0.0795224i | ||||
\(297\) | 12.4499 | − | 11.9713i | 0.722416 | − | 0.694648i | ||||
\(298\) | 5.63709 | + | 5.81145i | 0.326548 | + | 0.336648i | ||||
\(299\) | 3.47416 | + | 12.9658i | 0.200916 | + | 0.749829i | ||||
\(300\) | −9.62857 | − | 12.3770i | −0.555906 | − | 0.714589i | ||||
\(301\) | −0.328709 | + | 1.22676i | −0.0189465 | + | 0.0707093i | ||||
\(302\) | 11.1534 | + | 20.0161i | 0.641806 | + | 1.15180i | ||||
\(303\) | −7.29275 | + | 10.2717i | −0.418958 | + | 0.590093i | ||||
\(304\) | −2.81787 | − | 13.8383i | −0.161616 | − | 0.793679i | ||||
\(305\) | − | 7.71230i | − | 0.441605i | ||||||
\(306\) | −15.7390 | + | 17.7142i | −0.899736 | + | 1.01265i | ||||
\(307\) | −4.37646 | + | 4.37646i | −0.249778 | + | 0.249778i | −0.820879 | − | 0.571101i | \(-0.806516\pi\) |
0.571101 | + | 0.820879i | \(0.306516\pi\) | |||||||
\(308\) | −1.96839 | − | 8.35629i | −0.112160 | − | 0.476144i | ||||
\(309\) | 30.8728 | + | 11.4657i | 1.75629 | + | 0.652259i | ||||
\(310\) | −5.70689 | − | 1.62270i | −0.324130 | − | 0.0921630i | ||||
\(311\) | −2.65273 | + | 1.53155i | −0.150423 | + | 0.0868465i | −0.573322 | − | 0.819330i | \(-0.694346\pi\) |
0.422900 | + | 0.906177i | \(0.361012\pi\) | |||||||
\(312\) | −9.02264 | − | 22.3227i | −0.510806 | − | 1.26378i | ||||
\(313\) | −2.59526 | − | 1.49837i | −0.146693 | − | 0.0846930i | 0.424857 | − | 0.905260i | \(-0.360324\pi\) |
−0.571550 | + | 0.820567i | \(0.693658\pi\) | |||||||
\(314\) | −7.71391 | − | 7.95252i | −0.435321 | − | 0.448787i | ||||
\(315\) | −2.20288 | + | 1.49998i | −0.124118 | + | 0.0845143i | ||||
\(316\) | −0.175861 | + | 5.77203i | −0.00989296 | + | 0.324702i | ||||
\(317\) | 2.47692 | + | 9.24401i | 0.139118 | + | 0.519195i | 0.999947 | + | 0.0103009i | \(0.00327892\pi\) |
−0.860829 | + | 0.508894i | \(0.830054\pi\) | |||||||
\(318\) | −1.23259 | + | 1.68124i | −0.0691203 | + | 0.0942793i | ||||
\(319\) | 8.81182 | − | 5.08751i | 0.493367 | − | 0.284846i | ||||
\(320\) | 1.90347 | − | 5.16362i | 0.106407 | − | 0.288655i | ||||
\(321\) | 1.90142 | − | 20.2120i | 0.106127 | − | 1.12813i | ||||
\(322\) | −4.28123 | − | 2.55948i | −0.238584 | − | 0.142634i | ||||
\(323\) | −13.9434 | − | 13.9434i | −0.775834 | − | 0.775834i | ||||
\(324\) | 2.11820 | + | 17.8749i | 0.117678 | + | 0.993052i | ||||
\(325\) | 15.7317 | − | 15.7317i | 0.872636 | − | 0.872636i | ||||
\(326\) | −2.39082 | − | 9.49901i | −0.132415 | − | 0.526102i | ||||
\(327\) | −35.0687 | − | 3.29903i | −1.93930 | − | 0.182437i | ||||
\(328\) | −12.7457 | − | 24.6075i | −0.703762 | − | 1.35872i | ||||
\(329\) | 7.92619 | + | 13.7286i | 0.436985 | + | 0.756880i | ||||
\(330\) | 0.852349 | + | 5.53572i | 0.0469203 | + | 0.304731i | ||||
\(331\) | 14.5870 | − | 3.90856i | 0.801772 | − | 0.214834i | 0.165410 | − | 0.986225i | \(-0.447105\pi\) |
0.636362 | + | 0.771391i | \(0.280439\pi\) | |||||||
\(332\) | −5.38544 | − | 5.72392i | −0.295565 | − | 0.314141i | ||||
\(333\) | −1.21166 | − | 1.77945i | −0.0663984 | − | 0.0975131i | ||||
\(334\) | 0.467106 | − | 30.6694i | 0.0255589 | − | 1.67815i | ||||
\(335\) | 0.0392949 | − | 0.0680608i | 0.00214691 | − | 0.00371856i | ||||
\(336\) | 8.18206 | + | 3.61972i | 0.446368 | + | 0.197472i | ||||
\(337\) | 1.09448 | + | 1.89569i | 0.0596200 | + | 0.103265i | 0.894295 | − | 0.447478i | \(-0.147678\pi\) |
−0.834675 | + | 0.550743i | \(0.814344\pi\) | |||||||
\(338\) | 13.7802 | − | 7.67858i | 0.749542 | − | 0.417660i | ||||
\(339\) | −1.52335 | + | 4.10183i | −0.0827372 | + | 0.222781i | ||||
\(340\) | −1.76188 | − | 7.47957i | −0.0955511 | − | 0.405637i | ||||
\(341\) | −14.3342 | − | 14.3342i | −0.776242 | − | 0.776242i | ||||
\(342\) | −14.9529 | + | 0.882878i | −0.808559 | + | 0.0477406i | ||||
\(343\) | 15.9258 | 0.859912 | ||||||||
\(344\) | −2.71696 | + | 0.596482i | −0.146489 | + | 0.0321602i | ||||
\(345\) | 2.65345 | + | 1.88391i | 0.142857 | + | 0.101426i | ||||
\(346\) | 10.8240 | + | 3.07771i | 0.581904 | + | 0.165459i | ||||
\(347\) | −27.6810 | − | 7.41711i | −1.48599 | − | 0.398171i | −0.577612 | − | 0.816311i | \(-0.696015\pi\) |
−0.908382 | + | 0.418140i | \(0.862682\pi\) | |||||||
\(348\) | −1.31422 | + | 10.5223i | −0.0704498 | + | 0.564054i | ||||
\(349\) | −23.0850 | + | 6.18561i | −1.23571 | + | 0.331108i | −0.816801 | − | 0.576919i | \(-0.804255\pi\) |
−0.418911 | + | 0.908027i | \(0.637588\pi\) | |||||||
\(350\) | −0.125898 | + | 8.26628i | −0.00672955 | + | 0.441851i | ||||
\(351\) | −24.7923 | + | 6.12512i | −1.32332 | + | 0.326934i | ||||
\(352\) | 14.2687 | − | 12.2458i | 0.760524 | − | 0.652704i | ||||
\(353\) | −0.355770 | − | 0.205404i | −0.0189357 | − | 0.0109325i | 0.490502 | − | 0.871440i | \(-0.336813\pi\) |
−0.509438 | + | 0.860507i | \(0.670147\pi\) | |||||||
\(354\) | −1.31817 | + | 12.0424i | −0.0700601 | + | 0.640049i | ||||
\(355\) | −0.0297620 | − | 0.00797469i | −0.00157960 | − | 0.000423253i | ||||
\(356\) | 12.0585 | + | 22.4374i | 0.639099 | + | 1.18918i | ||||
\(357\) | 12.3169 | − | 2.08895i | 0.651877 | − | 0.110559i | ||||
\(358\) | 18.3864 | − | 4.62770i | 0.971750 | − | 0.244581i | ||||
\(359\) | 1.19383i | 0.0630078i | 0.999504 | + | 0.0315039i | \(0.0100297\pi\) | ||||
−0.999504 | + | 0.0315039i | \(0.989970\pi\) | |||||||
\(360\) | −5.13626 | − | 2.77324i | −0.270704 | − | 0.146162i | ||||
\(361\) | 6.53512i | 0.343954i | ||||||||
\(362\) | 3.90564 | + | 15.5175i | 0.205276 | + | 0.815584i | ||||
\(363\) | −0.0293212 | + | 0.0789513i | −0.00153897 | + | 0.00414387i | ||||
\(364\) | −3.65723 | + | 12.1554i | −0.191691 | + | 0.637116i | ||||
\(365\) | 8.83291 | + | 2.36677i | 0.462336 | + | 0.123883i | ||||
\(366\) | 11.0615 | + | 25.1354i | 0.578195 | + | 1.31385i | ||||
\(367\) | 16.1698 | + | 9.33562i | 0.844055 | + | 0.487316i | 0.858641 | − | 0.512578i | \(-0.171310\pi\) |
−0.0145854 | + | 0.999894i | \(0.504643\pi\) | |||||||
\(368\) | 0.665092 | − | 10.9045i | 0.0346703 | − | 0.568438i | ||||
\(369\) | −27.7498 | + | 9.69156i | −1.44460 | + | 0.504522i | ||||
\(370\) | 0.698038 | + | 0.0106314i | 0.0362893 | + | 0.000552699i | ||||
\(371\) | 1.06160 | − | 0.284455i | 0.0551156 | − | 0.0147682i | ||||
\(372\) | 20.9269 | − | 2.89665i | 1.08501 | − | 0.150184i | ||||
\(373\) | 11.5442 | + | 3.09325i | 0.597735 | + | 0.160163i | 0.544986 | − | 0.838445i | \(-0.316535\pi\) |
0.0527491 | + | 0.998608i | \(0.483202\pi\) | |||||||
\(374\) | 7.18068 | − | 25.2538i | 0.371304 | − | 1.30585i | ||||
\(375\) | 1.06314 | − | 11.3012i | 0.0549006 | − | 0.583593i | ||||
\(376\) | −18.7153 | + | 29.2444i | −0.965169 | + | 1.50817i | ||||
\(377\) | −15.0446 | −0.774838 | ||||||||
\(378\) | 5.02810 | − | 8.04816i | 0.258617 | − | 0.413953i | ||||
\(379\) | 15.3650 | + | 15.3650i | 0.789248 | + | 0.789248i | 0.981371 | − | 0.192123i | \(-0.0615372\pi\) |
−0.192123 | + | 0.981371i | \(0.561537\pi\) | |||||||
\(380\) | 2.55570 | − | 4.13074i | 0.131104 | − | 0.211903i | ||||
\(381\) | −19.3488 | − | 23.3672i | −0.991269 | − | 1.19714i | ||||
\(382\) | 12.7072 | + | 22.8046i | 0.650156 | + | 1.16679i | ||||
\(383\) | −11.1162 | − | 19.2539i | −0.568013 | − | 0.983827i | −0.996762 | − | 0.0804037i | \(-0.974379\pi\) |
0.428750 | − | 0.903423i | \(-0.358954\pi\) | |||||||
\(384\) | 1.20239 | + | 19.5590i | 0.0613592 | + | 0.998116i | ||||
\(385\) | 1.47643 | − | 2.55725i | 0.0752458 | − | 0.130330i | ||||
\(386\) | −7.39952 | − | 0.112697i | −0.376626 | − | 0.00573615i | ||||
\(387\) | 0.218733 | + | 2.94228i | 0.0111188 | + | 0.149565i | ||||
\(388\) | −17.6345 | − | 0.537284i | −0.895255 | − | 0.0272764i | ||||
\(389\) | 15.6338 | − | 4.18905i | 0.792663 | − | 0.212393i | 0.160303 | − | 0.987068i | \(-0.448753\pi\) |
0.632360 | + | 0.774675i | \(0.282086\pi\) | |||||||
\(390\) | 3.00109 | − | 7.71858i | 0.151966 | − | 0.390846i | ||||
\(391\) | −7.62718 | − | 13.2107i | −0.385723 | − | 0.668092i | ||||
\(392\) | 6.93663 | + | 13.3923i | 0.350353 | + | 0.676411i | ||||
\(393\) | −8.95795 | − | 19.5426i | −0.451869 | − | 0.985794i | ||||
\(394\) | −27.8462 | + | 7.00866i | −1.40287 | + | 0.353091i | ||||
\(395\) | −1.40449 | + | 1.40449i | −0.0706674 | + | 0.0706674i | ||||
\(396\) | −10.7176 | − | 16.8191i | −0.538581 | − | 0.845193i | ||||
\(397\) | 14.5828 | + | 14.5828i | 0.731887 | + | 0.731887i | 0.970993 | − | 0.239106i | \(-0.0768543\pi\) |
−0.239106 | + | 0.970993i | \(0.576854\pi\) | |||||||
\(398\) | 10.0403 | − | 16.7944i | 0.503277 | − | 0.841829i | ||||
\(399\) | 6.43910 | + | 4.57167i | 0.322358 | + | 0.228870i | ||||
\(400\) | −16.2033 | + | 8.08211i | −0.810165 | + | 0.404105i | ||||
\(401\) | 27.9585 | − | 16.1418i | 1.39618 | − | 0.806085i | 0.402191 | − | 0.915556i | \(-0.368249\pi\) |
0.993990 | + | 0.109470i | \(0.0349155\pi\) | |||||||
\(402\) | −0.0304496 | + | 0.278178i | −0.00151869 | + | 0.0138743i | ||||
\(403\) | 7.75768 | + | 28.9521i | 0.386438 | + | 1.44220i | ||||
\(404\) | 9.96764 | + | 10.5941i | 0.495909 | + | 0.527077i | ||||
\(405\) | −3.68239 | + | 4.97705i | −0.182979 | + | 0.247311i | ||||
\(406\) | 4.01283 | − | 3.89243i | 0.199154 | − | 0.193178i | ||||
\(407\) | 2.06570 | + | 1.19263i | 0.102393 | + | 0.0591166i | ||||
\(408\) | 16.4699 | + | 21.8499i | 0.815382 | + | 1.08173i | ||||
\(409\) | 12.9975 | − | 7.50409i | 0.642683 | − | 0.371053i | −0.142964 | − | 0.989728i | \(-0.545663\pi\) |
0.785647 | + | 0.618674i | \(0.212330\pi\) | |||||||
\(410\) | 2.60695 | − | 9.16844i | 0.128748 | − | 0.452797i | ||||
\(411\) | −2.89658 | − | 17.0788i | −0.142878 | − | 0.842435i | ||||
\(412\) | 20.0081 | − | 32.3388i | 0.985727 | − | 1.59322i | ||||
\(413\) | 4.51613 | − | 4.51613i | 0.222224 | − | 0.222224i | ||||
\(414\) | −11.3500 | − | 2.33414i | −0.557821 | − | 0.114717i | ||||
\(415\) | − | 2.70320i | − | 0.132695i | ||||||
\(416\) | −27.3242 | + | 5.13193i | −1.33968 | + | 0.251614i | ||||
\(417\) | 1.02801 | + | 2.24269i | 0.0503417 | + | 0.109825i | ||||
\(418\) | 14.4976 | − | 8.07835i | 0.709100 | − | 0.395125i | ||||
\(419\) | 6.00718 | − | 22.4191i | 0.293470 | − | 1.09525i | −0.648955 | − | 0.760827i | \(-0.724794\pi\) |
0.942425 | − | 0.334418i | \(-0.108540\pi\) | |||||||
\(420\) | 1.19652 | + | 2.83523i | 0.0583842 | + | 0.138345i | ||||
\(421\) | 4.05109 | + | 15.1189i | 0.197438 | + | 0.736849i | 0.991622 | + | 0.129172i | \(0.0412319\pi\) |
−0.794184 | + | 0.607677i | \(0.792101\pi\) | |||||||
\(422\) | 26.9542 | − | 26.1454i | 1.31211 | − | 1.27274i | ||||
\(423\) | 27.8991 | + | 24.0380i | 1.35650 | + | 1.16877i | ||||
\(424\) | 1.62261 | + | 1.77809i | 0.0788010 | + | 0.0863517i | ||||
\(425\) | −12.6415 | + | 21.8958i | −0.613205 | + | 1.06210i | ||||
\(426\) | 0.108436 | − | 0.0166962i | 0.00525374 | − | 0.000808932i | ||||
\(427\) | 3.74717 | − | 13.9846i | 0.181338 | − | 0.676764i | ||||
\(428\) | −22.4479 | − | 6.75396i | −1.08506 | − | 0.326465i | ||||
\(429\) | 21.7938 | − | 18.0460i | 1.05222 | − | 0.871267i | ||||
\(430\) | −0.821205 | − | 0.490947i | −0.0396020 | − | 0.0236756i | ||||
\(431\) | −1.63818 | −0.0789082 | −0.0394541 | − | 0.999221i | \(-0.512562\pi\) | ||||
−0.0394541 | + | 0.999221i | \(0.512562\pi\) | |||||||
\(432\) | 20.7173 | + | 1.67155i | 0.996761 | + | 0.0804224i | ||||
\(433\) | 24.1284 | 1.15954 | 0.579769 | − | 0.814781i | \(-0.303143\pi\) | ||||
0.579769 | + | 0.814781i | \(0.303143\pi\) | |||||||
\(434\) | −9.55984 | − | 5.71523i | −0.458887 | − | 0.274340i | ||||
\(435\) | −2.80926 | + | 2.32615i | −0.134694 | + | 0.111531i | ||||
\(436\) | −11.7184 | + | 38.9479i | −0.561209 | + | 1.86527i | ||||
\(437\) | 2.49571 | − | 9.31411i | 0.119386 | − | 0.445554i | ||||
\(438\) | −32.1822 | + | 4.95518i | −1.53772 | + | 0.236767i | ||||
\(439\) | 6.04546 | − | 10.4711i | 0.288534 | − | 0.499756i | −0.684926 | − | 0.728613i | \(-0.740165\pi\) |
0.973460 | + | 0.228857i | \(0.0734987\pi\) | |||||||
\(440\) | 6.46068 | + | 0.295378i | 0.308001 | + | 0.0140816i | ||||
\(441\) | 15.1024 | − | 5.27448i | 0.719162 | − | 0.251166i | ||||
\(442\) | −27.8648 | + | 27.0287i | −1.32539 | + | 1.28563i | ||||
\(443\) | −4.35450 | − | 16.2512i | −0.206889 | − | 0.772119i | −0.988866 | − | 0.148811i | \(-0.952455\pi\) |
0.781977 | − | 0.623307i | \(-0.214211\pi\) | |||||||
\(444\) | −2.29024 | + | 0.966527i | −0.108690 | + | 0.0458693i | ||||
\(445\) | −2.26761 | + | 8.46284i | −0.107495 | + | 0.401177i | ||||
\(446\) | −3.95515 | + | 2.20389i | −0.187282 | + | 0.104357i | ||||
\(447\) | −4.13185 | − | 9.01401i | −0.195430 | − | 0.426348i | ||||
\(448\) | 5.96039 | − | 8.43831i | 0.281602 | − | 0.398673i | ||||
\(449\) | 31.8270i | 1.50201i | 0.660298 | + | 0.751004i | \(0.270430\pi\) | ||||
−0.660298 | + | 0.751004i | \(0.729570\pi\) | |||||||
\(450\) | 6.05553 | + | 18.2258i | 0.285461 | + | 0.859175i | ||||
\(451\) | 23.0287 | − | 23.0287i | 1.08438 | − | 1.08438i | ||||
\(452\) | 4.29661 | + | 2.65832i | 0.202095 | + | 0.125037i | ||||
\(453\) | −4.69260 | − | 27.6685i | −0.220477 | − | 1.29998i | ||||
\(454\) | −1.11436 | + | 3.91912i | −0.0522996 | + | 0.183933i | ||||
\(455\) | −3.78111 | + | 2.18303i | −0.177261 | + | 0.102342i | ||||
\(456\) | −2.40474 | + | 17.1282i | −0.112612 | + | 0.802100i | ||||
\(457\) | −24.8553 | − | 14.3502i | −1.16268 | − | 0.671275i | −0.210737 | − | 0.977543i | \(-0.567586\pi\) |
−0.951945 | + | 0.306268i | \(0.900920\pi\) | |||||||
\(458\) | 18.5254 | − | 17.9695i | 0.865634 | − | 0.839661i | ||||
\(459\) | 25.4130 | − | 14.0157i | 1.18618 | − | 0.654195i | ||||
\(460\) | 2.73674 | − | 2.57491i | 0.127601 | − | 0.120056i | ||||
\(461\) | 0.483918 | + | 1.80601i | 0.0225383 | + | 0.0841141i | 0.976279 | − | 0.216517i | \(-0.0694695\pi\) |
−0.953741 | + | 0.300631i | \(0.902803\pi\) | |||||||
\(462\) | −1.14408 | + | 10.4520i | −0.0532275 | + | 0.486271i | ||||
\(463\) | −4.71990 | + | 2.72503i | −0.219352 | + | 0.126643i | −0.605650 | − | 0.795731i | \(-0.707087\pi\) |
0.386298 | + | 0.922374i | \(0.373754\pi\) | |||||||
\(464\) | 11.6124 | + | 3.88326i | 0.539092 | + | 0.180276i | ||||
\(465\) | 5.92506 | + | 4.20670i | 0.274768 | + | 0.195081i | ||||
\(466\) | −4.35830 | + | 7.29011i | −0.201894 | + | 0.337708i | ||||
\(467\) | 8.95228 | + | 8.95228i | 0.414262 | + | 0.414262i | 0.883220 | − | 0.468958i | \(-0.155370\pi\) |
−0.468958 | + | 0.883220i | \(0.655370\pi\) | |||||||
\(468\) | 1.28960 | + | 29.4602i | 0.0596118 | + | 1.36180i | ||||
\(469\) | 0.104322 | − | 0.104322i | 0.00481713 | − | 0.00481713i | ||||
\(470\) | −11.5810 | + | 2.91485i | −0.534194 | + | 0.134452i | ||||
\(471\) | 5.65411 | + | 12.3350i | 0.260528 | + | 0.568365i | ||||
\(472\) | 13.3324 | + | 4.23381i | 0.613672 | + | 0.194877i | ||||
\(473\) | −1.63450 | − | 2.83103i | −0.0751542 | − | 0.130171i | ||||
\(474\) | 2.56299 | − | 6.59181i | 0.117722 | − | 0.302772i | ||||
\(475\) | −15.4375 | + | 4.13647i | −0.708321 | + | 0.189794i | ||||
\(476\) | 0.439306 | − | 14.4187i | 0.0201355 | − | 0.660879i | ||||
\(477\) | 2.11040 | − | 1.43701i | 0.0966286 | − | 0.0657961i | ||||
\(478\) | −16.9909 | − | 0.258777i | −0.777144 | − | 0.0118362i | ||||
\(479\) | −4.27809 | + | 7.40987i | −0.195471 | + | 0.338566i | −0.947055 | − | 0.321072i | \(-0.895957\pi\) |
0.751584 | + | 0.659638i | \(0.229290\pi\) | |||||||
\(480\) | −4.30873 | + | 5.18307i | −0.196666 | + | 0.236573i | ||||
\(481\) | −1.76341 | − | 3.05431i | −0.0804045 | − | 0.139265i | ||||
\(482\) | 2.09160 | + | 3.75363i | 0.0952696 | + | 0.170973i | ||||
\(483\) | 3.89614 | + | 4.70531i | 0.177281 | + | 0.214099i | ||||
\(484\) | 0.0827003 | + | 0.0511668i | 0.00375911 | + | 0.00232576i | ||||
\(485\) | −4.29093 | − | 4.29093i | −0.194841 | − | 0.194841i | ||||
\(486\) | 4.86293 | − | 21.5024i | 0.220587 | − | 0.975367i | ||||
\(487\) | −13.1689 | −0.596738 | −0.298369 | − | 0.954451i | \(-0.596443\pi\) | ||||
−0.298369 | + | 0.954451i | \(0.596443\pi\) | |||||||
\(488\) | 30.9724 | − | 6.79969i | 1.40205 | − | 0.307808i | ||||
\(489\) | −1.12361 | + | 11.9440i | −0.0508114 | + | 0.540125i | ||||
\(490\) | −1.41879 | + | 4.98978i | −0.0640945 | + | 0.225415i | ||||
\(491\) | 8.09692 | + | 2.16956i | 0.365409 | + | 0.0979110i | 0.436851 | − | 0.899534i | \(-0.356094\pi\) |
−0.0714425 | + | 0.997445i | \(0.522760\pi\) | |||||||
\(492\) | 4.65363 | + | 33.6202i | 0.209802 | + | 1.51571i | ||||
\(493\) | 16.5145 | − | 4.42505i | 0.743776 | − | 0.199294i | ||||
\(494\) | −24.5363 | − | 0.373697i | −1.10394 | − | 0.0168134i | ||||
\(495\) | 1.27932 | − | 6.73939i | 0.0575010 | − | 0.302913i | ||||
\(496\) | 1.48513 | − | 24.3494i | 0.0666841 | − | 1.09332i | ||||
\(497\) | −0.0500924 | − | 0.0289209i | −0.00224695 | − | 0.00129728i | ||||
\(498\) | 3.87712 | + | 8.81007i | 0.173738 | + | 0.394789i | ||||
\(499\) | 31.2957 | + | 8.38567i | 1.40099 | + | 0.375394i | 0.878700 | − | 0.477374i | \(-0.158411\pi\) |
0.522289 | + | 0.852768i | \(0.325078\pi\) | |||||||
\(500\) | −12.5514 | − | 3.77637i | −0.561314 | − | 0.168884i | ||||
\(501\) | −13.0788 | + | 35.2163i | −0.584316 | + | 1.57335i | ||||
\(502\) | 1.44196 | + | 5.72906i | 0.0643577 | + | 0.255701i | ||||
\(503\) | − | 20.8126i | − | 0.927989i | −0.885838 | − | 0.463994i | \(-0.846416\pi\) | ||
0.885838 | − | 0.463994i | \(-0.153584\pi\) | |||||||
\(504\) | −7.96610 | − | 7.52424i | −0.354838 | − | 0.335156i | ||||
\(505\) | 5.00321i | 0.222640i | ||||||||
\(506\) | 12.4504 | − | 3.13367i | 0.553489 | − | 0.139309i | ||||
\(507\) | −19.0484 | + | 3.23063i | −0.845971 | + | 0.143477i | ||||
\(508\) | −30.8575 | + | 16.5837i | −1.36908 | + | 0.735783i | ||||
\(509\) | −20.7078 | − | 5.54865i | −0.917859 | − | 0.245940i | −0.231189 | − | 0.972909i | \(-0.574262\pi\) |
−0.686670 | + | 0.726969i | \(0.740928\pi\) | |||||||
\(510\) | −1.02405 | + | 9.35540i | −0.0453456 | + | 0.414264i | ||||
\(511\) | 14.8667 | + | 8.58329i | 0.657664 | + | 0.379703i | ||||
\(512\) | 22.4152 | + | 3.09167i | 0.990622 | + | 0.136634i | ||||
\(513\) | 17.6238 | + | 5.09438i | 0.778111 | + | 0.224922i | ||||
\(514\) | −0.0416289 | + | 2.73329i | −0.00183617 | + | 0.120560i | ||||
\(515\) | 12.6342 | − | 3.38533i | 0.556730 | − | 0.149175i | ||||
\(516\) | 3.38056 | + | 0.422230i | 0.148821 | + | 0.0185876i | ||||
\(517\) | −39.4127 | − | 10.5606i | −1.73337 | − | 0.464455i | ||||
\(518\) | 1.26058 | + | 0.358434i | 0.0553868 | + | 0.0157487i | ||||
\(519\) | −11.2378 | − | 7.97869i | −0.493286 | − | 0.350226i | ||||
\(520\) | −8.05448 | − | 5.15456i | −0.353212 | − | 0.226042i | ||||
\(521\) | 20.1534 | 0.882938 | 0.441469 | − | 0.897277i | \(-0.354458\pi\) | ||||
0.441469 | + | 0.897277i | \(0.354458\pi\) | |||||||
\(522\) | 5.81940 | − | 11.6105i | 0.254708 | − | 0.508177i | ||||
\(523\) | 14.7713 | + | 14.7713i | 0.645905 | + | 0.645905i | 0.952001 | − | 0.306096i | \(-0.0990228\pi\) |
−0.306096 | + | 0.952001i | \(0.599023\pi\) | |||||||
\(524\) | −24.1623 | + | 5.69163i | −1.05553 | + | 0.248640i | ||||
\(525\) | 3.52511 | − | 9.49181i | 0.153848 | − | 0.414256i | ||||
\(526\) | 2.16816 | − | 1.20814i | 0.0945362 | − | 0.0526775i | ||||
\(527\) | −17.0312 | − | 29.4990i | −0.741892 | − | 1.28499i | ||||
\(528\) | −21.4798 | + | 8.30368i | −0.934789 | + | 0.361371i | ||||
\(529\) | −7.77028 | + | 13.4585i | −0.337838 | + | 0.585153i | ||||
\(530\) | −0.0126087 | + | 0.827864i | −0.000547686 | + | 0.0359601i | ||||
\(531\) | 6.44550 | − | 13.3639i | 0.279711 | − | 0.579942i | ||||
\(532\) | 6.64122 | − | 6.24850i | 0.287934 | − | 0.270907i | ||||
\(533\) | −46.5131 | + | 12.4631i | −2.01470 | + | 0.539838i | ||||
\(534\) | −4.74757 | − | 30.8338i | −0.205447 | − | 1.33431i | ||||
\(535\) | −4.03149 | − | 6.98274i | −0.174296 | − | 0.301890i | ||||
\(536\) | 0.307976 | + | 0.0978004i | 0.0133025 | + | 0.00422433i | ||||
\(537\) | −23.1189 | − | 2.17487i | −0.997653 | − | 0.0938525i | ||||
\(538\) | −6.93251 | − | 27.5437i | −0.298882 | − | 1.18749i | ||||
\(539\) | −12.5330 | + | 12.5330i | −0.539835 | + | 0.539835i | ||||
\(540\) | 4.79586 | + | 5.30167i | 0.206381 | + | 0.228148i | ||||
\(541\) | 11.1739 | + | 11.1739i | 0.480403 | + | 0.480403i | 0.905260 | − | 0.424857i | \(-0.139676\pi\) |
−0.424857 | + | 0.905260i | \(0.639676\pi\) | |||||||
\(542\) | −13.8028 | − | 8.25184i | −0.592882 | − | 0.354447i | ||||
\(543\) | 1.83552 | − | 19.5116i | 0.0787698 | − | 0.837324i | ||||
\(544\) | 28.4844 | − | 13.6701i | 1.22126 | − | 0.586103i | ||||
\(545\) | −12.1153 | + | 6.99478i | −0.518963 | + | 0.299624i | ||||
\(546\) | 9.19208 | − | 12.5379i | 0.393385 | − | 0.536573i | ||||
\(547\) | −3.23236 | − | 12.0633i | −0.138206 | − | 0.515791i | −0.999964 | − | 0.00847177i | \(-0.997303\pi\) |
0.861758 | − | 0.507319i | \(-0.169363\pi\) | |||||||
\(548\) | −19.9932 | − | 0.609150i | −0.854068 | − | 0.0260216i | ||||
\(549\) | −2.49348 | − | 33.5410i | −0.106419 | − | 1.43149i | ||||
\(550\) | −14.8159 | − | 15.2742i | −0.631751 | − | 0.651293i | ||||
\(551\) | 9.35956 | + | 5.40375i | 0.398731 | + | 0.230207i | ||||
\(552\) | −5.22627 | + | 12.3172i | −0.222445 | + | 0.524254i | ||||
\(553\) | −3.22914 | + | 1.86435i | −0.137317 | + | 0.0792800i | ||||
\(554\) | −9.53600 | − | 2.71146i | −0.405146 | − | 0.115199i | ||||
\(555\) | −0.801527 | − | 0.297674i | −0.0340229 | − | 0.0126356i | ||||
\(556\) | 2.77285 | − | 0.653167i | 0.117595 | − | 0.0277004i | ||||
\(557\) | −4.41323 | + | 4.41323i | −0.186995 | + | 0.186995i | −0.794395 | − | 0.607401i | \(-0.792212\pi\) |
0.607401 | + | 0.794395i | \(0.292212\pi\) | |||||||
\(558\) | −25.3441 | − | 5.21205i | −1.07290 | − | 0.220644i | ||||
\(559\) | 4.83349i | 0.204435i | ||||||||
\(560\) | 3.48198 | − | 0.709032i | 0.147140 | − | 0.0299621i | ||||
\(561\) | −18.6153 | + | 26.2193i | −0.785938 | + | 1.10698i | ||||
\(562\) | 7.10924 | + | 12.7584i | 0.299885 | + | 0.538181i | ||||
\(563\) | −9.09152 | + | 33.9300i | −0.383162 | + | 1.42998i | 0.457882 | + | 0.889013i | \(0.348608\pi\) |
−0.841044 | + | 0.540967i | \(0.818058\pi\) | |||||||
\(564\) | 33.5634 | − | 26.1102i | 1.41328 | − | 1.09944i | ||||
\(565\) | 0.449782 | + | 1.67861i | 0.0189225 | + | 0.0706197i | ||||
\(566\) | 23.7783 | + | 24.5138i | 0.999477 | + | 1.03039i | ||||
\(567\) | −9.09543 | + | 7.23568i | −0.381972 | + | 0.303870i | ||||
\(568\) | 0.00578599 | − | 0.126554i | 0.000242775 | − | 0.00531010i | ||||
\(569\) | −10.8432 | + | 18.7810i | −0.454572 | + | 0.787342i | −0.998663 | − | 0.0516841i | \(-0.983541\pi\) |
0.544091 | + | 0.839026i | \(0.316874\pi\) | |||||||
\(570\) | −4.63941 | + | 3.72395i | −0.194323 | + | 0.155979i | ||||
\(571\) | 2.69081 | − | 10.0422i | 0.112607 | − | 0.420255i | −0.886490 | − | 0.462748i | \(-0.846863\pi\) |
0.999097 | + | 0.0424934i | \(0.0135301\pi\) | |||||||
\(572\) | −15.4671 | − | 28.7797i | −0.646710 | − | 1.20334i | ||||
\(573\) | −5.34633 | − | 31.5230i | −0.223346 | − | 1.31689i | ||||
\(574\) | 9.18183 | − | 15.3584i | 0.383242 | − | 0.641047i | ||||
\(575\) | −12.3635 | −0.515595 | ||||||||
\(576\) | 6.60877 | − | 23.0722i | 0.275365 | − | 0.961340i | ||||
\(577\) | −33.2014 | −1.38219 | −0.691096 | − | 0.722763i | \(-0.742872\pi\) | ||||
−0.691096 | + | 0.722763i | \(0.742872\pi\) | |||||||
\(578\) | 10.3008 | − | 17.2301i | 0.428457 | − | 0.716678i | ||||
\(579\) | 8.49655 | + | 3.15548i | 0.353105 | + | 0.131137i | ||||
\(580\) | 1.99373 | + | 3.70976i | 0.0827851 | + | 0.154039i | ||||
\(581\) | 1.31340 | − | 4.90169i | 0.0544891 | − | 0.203356i | ||||
\(582\) | 20.1390 | + | 7.83033i | 0.834790 | + | 0.324578i | ||||
\(583\) | −1.41444 | + | 2.44989i | −0.0585803 | + | 0.101464i | ||||
\(584\) | −1.71720 | + | 37.5595i | −0.0710581 | + | 1.55422i | ||||
\(585\) | −6.62054 | + | 7.68395i | −0.273726 | + | 0.317692i | ||||
\(586\) | −19.1953 | − | 19.7891i | −0.792951 | − | 0.817479i | ||||
\(587\) | −0.554497 | − | 2.06941i | −0.0228865 | − | 0.0854137i | 0.953538 | − | 0.301273i | \(-0.0974115\pi\) |
−0.976425 | + | 0.215859i | \(0.930745\pi\) | |||||||
\(588\) | −2.53266 | − | 18.2973i | −0.104445 | − | 0.754566i | ||||
\(589\) | 5.57282 | − | 20.7981i | 0.229624 | − | 0.856969i | ||||
\(590\) | 2.34197 | + | 4.20296i | 0.0964175 | + | 0.173033i | ||||
\(591\) | 35.0136 | + | 3.29384i | 1.44027 | + | 0.135491i | ||||
\(592\) | 0.572743 | + | 2.81268i | 0.0235396 | + | 0.115600i | ||||
\(593\) | − | 13.9278i | − | 0.571945i | −0.958238 | − | 0.285973i | \(-0.907683\pi\) | ||
0.958238 | − | 0.285973i | \(-0.0923166\pi\) | |||||||
\(594\) | 5.49666 | + | 23.7994i | 0.225531 | + | 0.976502i | ||||
\(595\) | 3.50844 | − | 3.50844i | 0.143832 | − | 0.143832i | ||||
\(596\) | −11.1448 | + | 2.62526i | −0.456510 | + | 0.107535i | ||||
\(597\) | −18.4580 | + | 15.2838i | −0.755436 | + | 0.625524i | ||||
\(598\) | −18.2594 | − | 5.19187i | −0.746682 | − | 0.212312i | ||||
\(599\) | 20.2130 | − | 11.6700i | 0.825881 | − | 0.476823i | −0.0265594 | − | 0.999647i | \(-0.508455\pi\) |
0.852440 | + | 0.522825i | \(0.175122\pi\) | |||||||
\(600\) | 22.0109 | − | 2.70576i | 0.898592 | − | 0.110462i | ||||
\(601\) | −10.3379 | − | 5.96857i | −0.421691 | − | 0.243463i | 0.274110 | − | 0.961698i | \(-0.411617\pi\) |
−0.695800 | + | 0.718235i | \(0.744950\pi\) | |||||||
\(602\) | −1.25055 | − | 1.28923i | −0.0509685 | − | 0.0525451i | ||||
\(603\) | 0.148890 | − | 0.308703i | 0.00606326 | − | 0.0125714i | ||||
\(604\) | −32.3900 | − | 0.986853i | −1.31793 | − | 0.0401545i | ||||
\(605\) | 0.00865733 | + | 0.0323096i | 0.000351971 | + | 0.00131357i | ||||
\(606\) | −7.17596 | − | 16.3061i | −0.291504 | − | 0.662391i | ||||
\(607\) | −10.3919 | + | 5.99979i | −0.421796 | + | 0.243524i | −0.695845 | − | 0.718192i | \(-0.744970\pi\) |
0.274050 | + | 0.961716i | \(0.411637\pi\) | |||||||
\(608\) | 18.8422 | + | 6.62167i | 0.764153 | + | 0.268544i | ||||
\(609\) | −6.22422 | + | 2.85306i | −0.252218 | + | 0.115612i | ||||
\(610\) | 9.36145 | + | 5.59663i | 0.379034 | + | 0.226601i | ||||
\(611\) | 42.6603 | + | 42.6603i | 1.72585 | + | 1.72585i | ||||
\(612\) | −10.0807 | − | 31.9592i | −0.407487 | − | 1.29187i | ||||
\(613\) | −18.1803 | + | 18.1803i | −0.734296 | + | 0.734296i | −0.971468 | − | 0.237172i | \(-0.923780\pi\) |
0.237172 | + | 0.971468i | \(0.423780\pi\) | |||||||
\(614\) | −2.13641 | − | 8.48820i | −0.0862185 | − | 0.342556i | ||||
\(615\) | −6.75830 | + | 9.51893i | −0.272521 | + | 0.383840i | ||||
\(616\) | 11.5716 | + | 3.67466i | 0.466232 | + | 0.148056i | ||||
\(617\) | 18.9672 | + | 32.8521i | 0.763589 | + | 1.32257i | 0.940989 | + | 0.338436i | \(0.109898\pi\) |
−0.177401 | + | 0.984139i | \(0.556769\pi\) | |||||||
\(618\) | −36.3211 | + | 29.1541i | −1.46105 | + | 1.17275i | ||||
\(619\) | −0.00230201 | 0.000616823i | −9.25258e−5 | 2.47922e-5i | −0.258865 | − | 0.965913i | \(-0.583349\pi\) | ||
0.258773 | + | 0.965938i | \(0.416682\pi\) | |||||||
\(620\) | 6.11104 | − | 5.74967i | 0.245425 | − | 0.230912i | ||||
\(621\) | 12.1490 | + | 7.33529i | 0.487523 | + | 0.294355i | ||||
\(622\) | 0.0659686 | − | 4.33139i | 0.00264510 | − | 0.173673i | ||||
\(623\) | −8.22368 | + | 14.2438i | −0.329475 | + | 0.570667i | ||||
\(624\) | 33.6436 | + | 5.24707i | 1.34682 | + | 0.210051i | ||||
\(625\) | 9.06281 | + | 15.6972i | 0.362512 | + | 0.627890i | ||||
\(626\) | 3.70209 | − | 2.06288i | 0.147965 | − | 0.0824493i | ||||
\(627\) | −20.0401 | + | 3.39882i | −0.800326 | + | 0.135736i | ||||
\(628\) | 15.2508 | − | 3.59246i | 0.608575 | − | 0.143355i | ||||
\(629\) | 2.83406 | + | 2.83406i | 0.113001 | + | 0.113001i | ||||
\(630\) | −0.222149 | − | 3.76243i | −0.00885064 | − | 0.149899i | ||||
\(631\) | −39.2643 | −1.56309 | −0.781543 | − | 0.623852i | \(-0.785567\pi\) | ||||
−0.781543 | + | 0.623852i | \(0.785567\pi\) | |||||||
\(632\) | −6.87867 | − | 4.40209i | −0.273619 | − | 0.175106i | ||||
\(633\) | −41.8080 | + | 19.1640i | −1.66172 | + | 0.761700i | ||||
\(634\) | −13.0181 | − | 3.70158i | −0.517016 | − | 0.147008i | ||||
\(635\) | −11.6387 | − | 3.11858i | −0.461868 | − | 0.123757i | ||||
\(636\) | −1.14629 | − | 2.71620i | −0.0454532 | − | 0.107704i | ||||
\(637\) | 25.3140 | − | 6.78286i | 1.00298 | − | 0.268747i | ||||
\(638\) | −0.219134 | + | 14.3880i | −0.00867560 | + | 0.569625i | ||||
\(639\) | −0.132014 | − | 0.0250598i | −0.00522239 | − | 0.000991349i | ||||
\(640\) | 4.88648 | + | 6.05761i | 0.193155 | + | 0.239448i | ||||
\(641\) | 15.2983 | + | 8.83246i | 0.604245 | + | 0.348861i | 0.770710 | − | 0.637186i | \(-0.219902\pi\) |
−0.166465 | + | 0.986047i | \(0.553235\pi\) | |||||||
\(642\) | 23.1543 | + | 16.9754i | 0.913826 | + | 0.669966i | ||||
\(643\) | −6.60298 | − | 1.76926i | −0.260396 | − | 0.0697729i | 0.126259 | − | 0.991997i | \(-0.459703\pi\) |
−0.386655 | + | 0.922224i | \(0.626370\pi\) | |||||||
\(644\) | 6.21358 | − | 3.33935i | 0.244849 | − | 0.131589i | ||||
\(645\) | 0.747339 | + | 0.902549i | 0.0294264 | + | 0.0355378i | ||||
\(646\) | 27.0435 | − | 6.80661i | 1.06401 | − | 0.267803i | ||||
\(647\) | − | 4.24252i | − | 0.166791i | −0.996517 | − | 0.0833953i | \(-0.973424\pi\) | ||
0.996517 | − | 0.0833953i | \(-0.0265764\pi\) | |||||||
\(648\) | −23.2343 | − | 10.4003i | −0.912731 | − | 0.408561i | ||||
\(649\) | 16.4392i | 0.645293i | ||||||||
\(650\) | 7.67955 | + | 30.5117i | 0.301217 | + | 1.19677i | ||||
\(651\) | 8.69995 | + | 10.5068i | 0.340978 | + | 0.411793i | ||||
\(652\) | 13.2652 | + | 3.99114i | 0.519505 | + | 0.156305i | ||||
\(653\) | −26.6484 | − | 7.14041i | −1.04283 | − | 0.279426i | −0.303545 | − | 0.952817i | \(-0.598170\pi\) |
−0.739286 | + | 0.673391i | \(0.764837\pi\) | |||||||
\(654\) | 29.4530 | − | 40.1735i | 1.15170 | − | 1.57091i | ||||
\(655\) | −7.39431 | − | 4.26911i | −0.288919 | − | 0.166808i | ||||
\(656\) | 39.1187 | + | 2.38594i | 1.52733 | + | 0.0931551i | ||||
\(657\) | 39.1798 | + | 7.43737i | 1.52855 | + | 0.290159i | ||||
\(658\) | −22.4161 | − | 0.341405i | −0.873869 | − | 0.0133093i | ||||
\(659\) | −10.1504 | + | 2.71978i | −0.395402 | + | 0.105948i | −0.451041 | − | 0.892503i | \(-0.648947\pi\) |
0.0556391 | + | 0.998451i | \(0.482280\pi\) | |||||||
\(660\) | −7.33798 | − | 2.98253i | −0.285630 | − | 0.116095i | ||||
\(661\) | −28.3410 | − | 7.59396i | −1.10234 | − | 0.295371i | −0.338622 | − | 0.940922i | \(-0.609961\pi\) |
−0.763717 | + | 0.645552i | \(0.776628\pi\) | |||||||
\(662\) | −5.84105 | + | 20.5425i | −0.227019 | + | 0.798407i | ||||
\(663\) | 43.2204 | − | 19.8114i | 1.67854 | − | 0.769412i | ||||
\(664\) | 10.8560 | − | 2.38333i | 0.421294 | − | 0.0924910i | ||||
\(665\) | 3.13641 | 0.121625 | ||||||||
\(666\) | 3.03923 | − | 0.179448i | 0.117768 | − | 0.00695347i | ||||
\(667\) | 5.91179 | + | 5.91179i | 0.228905 | + | 0.228905i | ||||
\(668\) | 36.8886 | + | 22.8230i | 1.42726 | + | 0.883049i | ||||
\(669\) | 5.46724 | − | 0.927247i | 0.211376 | − | 0.0358495i | ||||
\(670\) | 0.0540992 | + | 0.0970876i | 0.00209003 | + | 0.00375082i | ||||
\(671\) | 18.6327 | + | 32.2728i | 0.719307 | + | 1.24588i | ||||
\(672\) | −10.3313 | + | 7.30493i | −0.398537 | + | 0.281794i | ||||
\(673\) | −5.32418 | + | 9.22175i | −0.205232 | + | 0.355472i | −0.950207 | − | 0.311621i | \(-0.899128\pi\) |
0.744975 | + | 0.667093i | \(0.232462\pi\) | |||||||
\(674\) | −3.09529 | − | 0.0471425i | −0.119226 | − | 0.00181586i | ||||
\(675\) | 0.460823 | − | 23.5173i | 0.0177371 | − | 0.905182i | ||||
\(676\) | −0.679401 | + | 22.2990i | −0.0261308 | + | 0.857654i | ||||
\(677\) | 21.2938 | − | 5.70565i | 0.818387 | − | 0.219286i | 0.174746 | − | 0.984614i | \(-0.444090\pi\) |
0.643641 | + | 0.765327i | \(0.277423\pi\) | |||||||
\(678\) | −3.87348 | − | 4.82570i | −0.148760 | − | 0.185330i | ||||
\(679\) | −5.69587 | − | 9.86554i | −0.218587 | − | 0.378605i | ||||
\(680\) | 10.3575 | + | 3.28912i | 0.397192 | + | 0.126132i | ||||
\(681\) | 2.88889 | − | 4.06894i | 0.110702 | − | 0.155922i | ||||
\(682\) | 27.8014 | − | 6.99738i | 1.06457 | − | 0.267943i | ||||
\(683\) | 1.68202 | − | 1.68202i | 0.0643609 | − | 0.0643609i | −0.674194 | − | 0.738555i | \(-0.735509\pi\) |
0.738555 | + | 0.674194i | \(0.235509\pi\) | |||||||
\(684\) | 9.77927 | − | 18.7910i | 0.373920 | − | 0.718492i | ||||
\(685\) | −4.86488 | − | 4.86488i | −0.185877 | − | 0.185877i | ||||
\(686\) | −11.5570 | + | 19.3313i | −0.441247 | + | 0.738071i | ||||
\(687\) | −28.7343 | + | 13.1712i | −1.09628 | + | 0.502514i | ||||
\(688\) | 1.24760 | − | 3.73079i | 0.0475644 | − | 0.142235i | ||||
\(689\) | 3.62237 | − | 2.09138i | 0.138001 | − | 0.0796751i | ||||
\(690\) | −4.21230 | + | 1.85374i | −0.160360 | + | 0.0705707i | ||||
\(691\) | −0.595784 | − | 2.22350i | −0.0226647 | − | 0.0845858i | 0.953667 | − | 0.300864i | \(-0.0972749\pi\) |
−0.976332 | + | 0.216278i | \(0.930608\pi\) | |||||||
\(692\) | −11.5906 | + | 10.9052i | −0.440607 | + | 0.414553i | ||||
\(693\) | 5.59424 | − | 11.5989i | 0.212508 | − | 0.440606i | ||||
\(694\) | 29.0906 | − | 28.2178i | 1.10426 | − | 1.07113i | ||||
\(695\) | 0.848565 | + | 0.489919i | 0.0321879 | + | 0.0185837i | ||||
\(696\) | −11.8186 | − | 9.23102i | −0.447983 | − | 0.349901i | ||||
\(697\) | 47.3917 | − | 27.3616i | 1.79509 | − | 1.03639i | ||||
\(698\) | 9.24393 | − | 32.5101i | 0.349888 | − | 1.23053i | ||||
\(699\) | 8.01223 | − | 6.63437i | 0.303050 | − | 0.250935i | ||||
\(700\) | −9.94253 | − | 6.15146i | −0.375792 | − | 0.232503i | ||||
\(701\) | 10.2728 | − | 10.2728i | 0.387997 | − | 0.387997i | −0.485976 | − | 0.873972i | \(-0.661536\pi\) |
0.873972 | + | 0.485976i | \(0.161536\pi\) | |||||||
\(702\) | 10.5563 | − | 34.5386i | 0.398422 | − | 1.30358i | ||||
\(703\) | 2.53353i | 0.0955540i | ||||||||
\(704\) | 4.50994 | + | 26.2063i | 0.169975 | + | 0.987689i | ||||
\(705\) | 14.5619 | + | 1.36989i | 0.548433 | + | 0.0515929i | ||||
\(706\) | 0.507500 | − | 0.282789i | 0.0191000 | − | 0.0106429i | ||||
\(707\) | −2.43091 | + | 9.07228i | −0.0914238 | + | 0.341198i | ||||
\(708\) | −13.6610 | − | 10.3390i | −0.513411 | − | 0.388562i | ||||
\(709\) | 1.30925 | + | 4.88619i | 0.0491700 | + | 0.183505i | 0.986143 | − | 0.165896i | \(-0.0530517\pi\) |
−0.936973 | + | 0.349401i | \(0.886385\pi\) | |||||||
\(710\) | 0.0312775 | − | 0.0303391i | 0.00117382 | − | 0.00113860i | ||||
\(711\) | −5.65406 | + | 6.56224i | −0.212044 | + | 0.246103i | ||||
\(712\) | −35.9858 | − | 1.64525i | −1.34863 | − | 0.0616584i | ||||
\(713\) | 8.32834 | − | 14.4251i | 0.311899 | − | 0.540224i | ||||
\(714\) | −6.40241 | + | 16.4665i | −0.239604 | + | 0.616244i | ||||
\(715\) | 2.90859 | − | 10.8550i | 0.108775 | − | 0.405955i | ||||
\(716\) | −7.72529 | + | 25.6762i | −0.288708 | + | 0.959566i | ||||
\(717\) | 19.5099 | + | 7.24566i | 0.728610 | + | 0.270594i | ||||
\(718\) | −1.44911 | − | 0.866331i | −0.0540802 | − | 0.0323312i | ||||
\(719\) | 6.73858 | 0.251307 | 0.125653 | − | 0.992074i | \(-0.459897\pi\) | ||||
0.125653 | + | 0.992074i | \(0.459897\pi\) | |||||||
\(720\) | 7.09351 | − | 4.22210i | 0.264359 | − | 0.157348i | ||||
\(721\) | 24.5544 | 0.914452 | ||||||||
\(722\) | −7.93255 | − | 4.74238i | −0.295219 | − | 0.176493i | ||||
\(723\) | −0.880003 | − | 5.18867i | −0.0327277 | − | 0.192969i | ||||
\(724\) | −21.6700 | − | 6.51991i | −0.805358 | − | 0.242311i | ||||
\(725\) | 3.58646 | − | 13.3849i | 0.133198 | − | 0.497101i | ||||
\(726\) | −0.0745561 | − | 0.0928842i | −0.00276704 | − | 0.00344726i | ||||
\(727\) | −4.14056 | + | 7.17166i | −0.153565 | + | 0.265982i | −0.932536 | − | 0.361078i | \(-0.882409\pi\) |
0.778971 | + | 0.627060i | \(0.215742\pi\) | |||||||
\(728\) | −12.1007 | − | 13.2601i | −0.448481 | − | 0.491454i | ||||
\(729\) | −14.4057 | + | 22.8359i | −0.533543 | + | 0.845773i | ||||
\(730\) | −9.28270 | + | 9.00419i | −0.343568 | + | 0.333260i | ||||
\(731\) | −1.42166 | − | 5.30572i | −0.0525821 | − | 0.196239i | ||||
\(732\) | −38.5373 | − | 4.81327i | −1.42438 | − | 0.177904i | ||||
\(733\) | −11.7070 | + | 43.6909i | −0.432406 | + | 1.61376i | 0.314792 | + | 0.949161i | \(0.398065\pi\) |
−0.747198 | + | 0.664601i | \(0.768601\pi\) | |||||||
\(734\) | −23.0659 | + | 12.8528i | −0.851378 | + | 0.474405i | ||||
\(735\) | 3.67810 | − | 5.18053i | 0.135669 | − | 0.191087i | ||||
\(736\) | 12.7537 | + | 8.72047i | 0.470106 | + | 0.321441i | ||||
\(737\) | 0.379742i | 0.0139880i | ||||||||
\(738\) | 8.37344 | − | 40.7166i | 0.308231 | − | 1.49880i | ||||
\(739\) | 22.0530 | − | 22.0530i | 0.811234 | − | 0.811234i | −0.173585 | − | 0.984819i | \(-0.555535\pi\) |
0.984819 | + | 0.173585i | \(0.0555352\pi\) | |||||||
\(740\) | −0.519454 | + | 0.839588i | −0.0190955 | + | 0.0308639i | ||||
\(741\) | 28.1740 | + | 10.4634i | 1.03500 | + | 0.384381i | ||||
\(742\) | −0.425097 | + | 1.49503i | −0.0156058 | + | 0.0548843i | ||||
\(743\) | 29.9386 | − | 17.2851i | 1.09834 | − | 0.634128i | 0.162557 | − | 0.986699i | \(-0.448026\pi\) |
0.935785 | + | 0.352571i | \(0.114693\pi\) | |||||||
\(744\) | −11.6701 | + | 27.5038i | −0.427846 | + | 1.00834i | ||||
\(745\) | −3.41062 | − | 1.96912i | −0.124955 | − | 0.0721431i | ||||
\(746\) | −12.1320 | + | 11.7680i | −0.444185 | + | 0.430858i | ||||
\(747\) | −0.873977 | − | 11.7563i | −0.0319772 | − | 0.430140i | ||||
\(748\) | 25.4431 | + | 27.0423i | 0.930293 | + | 0.988763i | ||||
\(749\) | −3.91756 | − | 14.6205i | −0.143144 | − | 0.534222i | ||||
\(750\) | 12.9463 | + | 9.49151i | 0.472733 | + | 0.346581i | ||||
\(751\) | −38.8676 | + | 22.4402i | −1.41830 | + | 0.818855i | −0.996149 | − | 0.0876713i | \(-0.972057\pi\) |
−0.422149 | + | 0.906526i | \(0.638724\pi\) | |||||||
\(752\) | −21.9166 | − | 43.9393i | −0.799217 | − | 1.60230i | ||||
\(753\) | 0.677674 | − | 7.20367i | 0.0246958 | − | 0.262516i | ||||
\(754\) | 10.9175 | − | 18.2617i | 0.397593 | − | 0.665051i | ||||
\(755\) | −7.88134 | − | 7.88134i | −0.286832 | − | 0.286832i | ||||
\(756\) | 6.12036 | + | 11.9436i | 0.222595 | + | 0.434386i | ||||
\(757\) | 27.6111 | − | 27.6111i | 1.00354 | − | 1.00354i | 0.00354931 | − | 0.999994i | \(-0.498870\pi\) |
0.999994 | − | 0.00354931i | \(-0.00112978\pi\) | |||||||
\(758\) | −29.8006 | + | 7.50057i | −1.08241 | + | 0.272433i | ||||
\(759\) | −15.6551 | − | 1.47272i | −0.568243 | − | 0.0534565i | ||||
\(760\) | 3.15943 | + | 6.09977i | 0.114605 | + | 0.221262i | ||||
\(761\) | −17.8578 | − | 30.9307i | −0.647346 | − | 1.12124i | −0.983754 | − | 0.179520i | \(-0.942545\pi\) |
0.336408 | − | 0.941716i | \(-0.390788\pi\) | |||||||
\(762\) | 42.4049 | − | 6.52920i | 1.53617 | − | 0.236528i | ||||
\(763\) | −25.3672 | + | 6.79711i | −0.918353 | + | 0.246072i | ||||
\(764\) | −36.9023 | − | 1.12433i | −1.33508 | − | 0.0406769i | ||||
\(765\) | 5.00731 | − | 10.3820i | 0.181040 | − | 0.375361i | ||||
\(766\) | 31.4378 | + | 0.478809i | 1.13589 | + | 0.0173001i | ||||
\(767\) | 12.1534 | − | 21.0502i | 0.438832 | − | 0.760079i | ||||
\(768\) | −24.6139 | − | 12.7340i | −0.888179 | − | 0.459498i | ||||
\(769\) | −22.6077 | − | 39.1577i | −0.815254 | − | 1.41206i | −0.909145 | − | 0.416479i | \(-0.863264\pi\) |
0.0938910 | − | 0.995582i | \(-0.470069\pi\) | |||||||
\(770\) | 2.03267 | + | 3.64788i | 0.0732523 | + | 0.131460i | ||||
\(771\) | 1.16559 | − | 3.13851i | 0.0419778 | − | 0.113031i | ||||
\(772\) | 5.50645 | − | 8.90002i | 0.198182 | − | 0.320319i | ||||
\(773\) | 5.57961 | + | 5.57961i | 0.200685 | + | 0.200685i | 0.800293 | − | 0.599609i | \(-0.204677\pi\) |
−0.599609 | + | 0.800293i | \(0.704677\pi\) | |||||||
\(774\) | −3.73017 | − | 1.86964i | −0.134078 | − | 0.0672027i | ||||
\(775\) | −27.6073 | −0.991684 | ||||||||
\(776\) | 13.4491 | − | 21.0154i | 0.482794 | − | 0.754410i | ||||
\(777\) | −1.30877 | − | 0.929208i | −0.0469519 | − | 0.0333352i | ||||
\(778\) | −6.26022 | + | 22.0167i | −0.224440 | + | 0.789336i | ||||
\(779\) | 33.4132 | + | 8.95305i | 1.19715 | + | 0.320776i | ||||
\(780\) | 7.19127 | + | 9.24402i | 0.257489 | + | 0.330989i | ||||
\(781\) | 0.143808 | − | 0.0385333i | 0.00514586 | − | 0.00137883i | ||||
\(782\) | 21.5704 | + | 0.328526i | 0.771357 | + | 0.0117481i | ||||
\(783\) | −11.4655 | + | 11.0248i | −0.409743 | + | 0.393993i | ||||
\(784\) | −21.2897 | − | 1.29851i | −0.760347 | − | 0.0463753i | ||||
\(785\) | 4.66717 | + | 2.69459i | 0.166578 | + | 0.0961741i | ||||
\(786\) | 30.2220 | + | 3.30812i | 1.07798 | + | 0.117997i | ||||
\(787\) | 8.95529 | + | 2.39956i | 0.319221 | + | 0.0855351i | 0.414872 | − | 0.909880i | \(-0.363826\pi\) |
−0.0956504 | + | 0.995415i | \(0.530493\pi\) | |||||||
\(788\) | 11.7000 | − | 38.8867i | 0.416794 | − | 1.38528i | ||||
\(789\) | −2.99706 | + | 0.508304i | −0.106698 | + | 0.0180961i | ||||
\(790\) | −0.685612 | − | 2.72402i | −0.0243930 | − | 0.0969161i | ||||
\(791\) | 3.26235i | 0.115996i | ||||||||
\(792\) | 28.1932 | − | 0.804208i | 1.00180 | − | 0.0285763i | ||||
\(793\) | − | 55.1001i | − | 1.95666i | ||||||
\(794\) | −28.2834 | + | 7.11870i | −1.00374 | + | 0.252633i | ||||
\(795\) | 0.353038 | − | 0.950600i | 0.0125210 | − | 0.0337143i | ||||
\(796\) | 13.0996 | + | 24.3746i | 0.464304 | + | 0.863936i | ||||
\(797\) | −24.5310 | − | 6.57307i | −0.868934 | − | 0.232830i | −0.203307 | − | 0.979115i | \(-0.565169\pi\) |
−0.665627 | + | 0.746285i | \(0.731836\pi\) | |||||||
\(798\) | −10.2220 | + | 4.49846i | −0.361853 | + | 0.159244i | ||||
\(799\) | −59.3759 | − | 34.2807i | −2.10057 | − | 1.21276i | ||||
\(800\) | 1.94801 | − | 25.5331i | 0.0688726 | − | 0.902732i | ||||
\(801\) | −7.12576 | + | 37.5383i | −0.251776 | + | 1.32635i | ||||
\(802\) | −0.695278 | + | 45.6508i | −0.0245511 | + | 1.61198i | ||||
\(803\) | −42.6801 | + | 11.4361i | −1.50615 | + | 0.403571i | ||||
\(804\) | −0.315566 | − | 0.238828i | −0.0111292 | − | 0.00842282i | ||||
\(805\) | 2.34361 | + | 0.627969i | 0.0826014 | + | 0.0221330i | ||||
\(806\) | −40.7726 | − | 11.5933i | −1.43615 | − | 0.408355i | ||||
\(807\) | −3.25806 | + | 34.6331i | −0.114689 | + | 1.21914i | ||||
\(808\) | −20.0928 | + | 4.41118i | −0.706862 | + | 0.155185i | ||||
\(809\) | 33.1931 | 1.16701 | 0.583503 | − | 0.812111i | \(-0.301682\pi\) | ||||
0.583503 | + | 0.812111i | \(0.301682\pi\) | |||||||
\(810\) | −3.36909 | − | 8.08153i | −0.118378 | − | 0.283956i | ||||
\(811\) | 7.35128 | + | 7.35128i | 0.258138 | + | 0.258138i | 0.824297 | − | 0.566158i | \(-0.191571\pi\) |
−0.566158 | + | 0.824297i | \(0.691571\pi\) | |||||||
\(812\) | 1.81275 | + | 7.69556i | 0.0636152 | + | 0.270061i | ||||
\(813\) | 12.5613 | + | 15.1700i | 0.440543 | + | 0.532037i | ||||
\(814\) | −2.94669 | + | 1.64195i | −0.103281 | + | 0.0575504i | ||||
\(815\) | 2.38234 | + | 4.12633i | 0.0834497 | + | 0.144539i | ||||
\(816\) | −38.4739 | + | 4.13582i | −1.34686 | + | 0.144782i | ||||
\(817\) | 1.73610 | − | 3.00701i | 0.0607383 | − | 0.105202i | ||||
\(818\) | −0.323224 | + | 21.2223i | −0.0113013 | + | 0.742021i | ||||
\(819\) | −15.7384 | + | 10.7165i | −0.549943 | + | 0.374466i | ||||
\(820\) | 9.23716 | + | 9.81772i | 0.322576 | + | 0.342850i | ||||
\(821\) | 38.6179 | − | 10.3476i | 1.34777 | − | 0.361135i | 0.488462 | − | 0.872585i | \(-0.337558\pi\) |
0.859313 | + | 0.511450i | \(0.170891\pi\) | |||||||
\(822\) | 22.8328 | + | 8.87770i | 0.796385 | + | 0.309645i | ||||
\(823\) | 11.8717 | + | 20.5623i | 0.413821 | + | 0.716758i | 0.995304 | − | 0.0968000i | \(-0.0308607\pi\) |
−0.581483 | + | 0.813558i | \(0.697527\pi\) | |||||||
\(824\) | 24.7346 | + | 47.7540i | 0.861670 | + | 1.66359i | ||||
\(825\) | 10.8597 | + | 23.6914i | 0.378086 | + | 0.824829i | ||||
\(826\) | 2.20459 | + | 8.75908i | 0.0767075 | + | 0.304768i | ||||
\(827\) | 25.1545 | − | 25.1545i | 0.874708 | − | 0.874708i | −0.118273 | − | 0.992981i | \(-0.537736\pi\) |
0.992981 | + | 0.118273i | \(0.0377357\pi\) | |||||||
\(828\) | 11.0697 | − | 12.0832i | 0.384697 | − | 0.419919i | ||||
\(829\) | 6.12372 | + | 6.12372i | 0.212686 | + | 0.212686i | 0.805407 | − | 0.592722i | \(-0.201947\pi\) |
−0.592722 | + | 0.805407i | \(0.701947\pi\) | |||||||
\(830\) | 3.28124 | + | 1.96165i | 0.113893 | + | 0.0680897i | ||||
\(831\) | 9.90054 | + | 7.02924i | 0.343446 | + | 0.243842i | ||||
\(832\) | 13.5992 | − | 36.8912i | 0.471468 | − | 1.27897i | ||||
\(833\) | −25.7922 | + | 14.8911i | −0.893646 | + | 0.515947i | ||||
\(834\) | −3.46826 | − | 0.379638i | −0.120096 | − | 0.0131458i | ||||
\(835\) | 3.86161 | + | 14.4117i | 0.133637 | + | 0.498739i | ||||
\(836\) | −0.714772 | + | 23.4599i | −0.0247209 | + | 0.811379i | ||||
\(837\) | 27.1283 | + | 16.3794i | 0.937692 | + | 0.566156i | ||||
\(838\) | 22.8538 | + | 23.5607i | 0.789472 | + | 0.813892i | ||||
\(839\) | −35.2084 | − | 20.3276i | −1.21553 | − | 0.701786i | −0.251570 | − | 0.967839i | \(-0.580947\pi\) |
−0.963958 | + | 0.266054i | \(0.914280\pi\) | |||||||
\(840\) | −4.30978 | − | 0.605079i | −0.148702 | − | 0.0208772i | ||||
\(841\) | 16.9997 | − | 9.81476i | 0.586195 | − | 0.338440i | ||||
\(842\) | −21.2916 | − | 6.05405i | −0.733757 | − | 0.208636i | ||||
\(843\) | −2.99109 | − | 17.6361i | −0.103019 | − | 0.607418i | ||||
\(844\) | 12.1763 | + | 51.6910i | 0.419124 | + | 1.77928i | ||||
\(845\) | −5.42593 | + | 5.42593i | −0.186658 | + | 0.186658i | ||||
\(846\) | −49.4239 | + | 16.4211i | −1.69923 | + | 0.564568i | ||||
\(847\) | 0.0627931i | 0.00215760i | ||||||||
\(848\) | −3.33580 | + | 0.679265i | −0.114552 | + | 0.0233261i | ||||
\(849\) | −17.4289 | − | 38.0228i | −0.598159 | − | 1.30494i | ||||
\(850\) | −17.4042 | − | 31.2340i | −0.596960 | − | 1.07132i | ||||
\(851\) | −0.507262 | + | 1.89313i | −0.0173887 | + | 0.0648955i | ||||
\(852\) | −0.0584229 | + | 0.143739i | −0.00200154 | + | 0.00492443i | ||||
\(853\) | 11.1499 | + | 41.6120i | 0.381765 | + | 1.42477i | 0.843203 | + | 0.537595i | \(0.180667\pi\) |
−0.461437 | + | 0.887173i | \(0.652666\pi\) | |||||||
\(854\) | 14.2558 | + | 14.6968i | 0.487824 | + | 0.502913i | ||||
\(855\) | 6.87870 | − | 2.40237i | 0.235247 | − | 0.0821592i | ||||
\(856\) | 24.4881 | − | 22.3468i | 0.836985 | − | 0.763798i | ||||
\(857\) | 4.72246 | − | 8.17953i | 0.161316 | − | 0.279408i | −0.774025 | − | 0.633155i | \(-0.781759\pi\) |
0.935341 | + | 0.353748i | \(0.115093\pi\) | |||||||
\(858\) | 6.08956 | + | 39.5496i | 0.207894 | + | 1.35020i | ||||
\(859\) | −5.87045 | + | 21.9088i | −0.200297 | + | 0.747519i | 0.790535 | + | 0.612417i | \(0.209803\pi\) |
−0.990832 | + | 0.135102i | \(0.956864\pi\) | |||||||
\(860\) | 1.19186 | − | 0.640539i | 0.0406420 | − | 0.0218422i | ||||
\(861\) | −16.8797 | + | 13.9769i | −0.575260 | + | 0.476333i | ||||
\(862\) | 1.18878 | − | 1.98847i | 0.0404902 | − | 0.0677277i | ||||
\(863\) | −3.58147 | −0.121915 | −0.0609573 | − | 0.998140i | \(-0.519415\pi\) | ||||
−0.0609573 | + | 0.998140i | \(0.519415\pi\) | |||||||
\(864\) | −17.0630 | + | 23.9344i | −0.580496 | + | 0.814263i | ||||
\(865\) | −5.47380 | −0.186115 | ||||||||
\(866\) | −17.5094 | + | 29.2879i | −0.594994 | + | 0.995243i | ||||
\(867\) | −18.9368 | + | 15.6803i | −0.643128 | + | 0.532530i | ||||
\(868\) | 13.8747 | − | 7.45666i | 0.470938 | − | 0.253096i | ||||
\(869\) | 2.48399 | − | 9.27039i | 0.0842637 | − | 0.314476i | ||||
\(870\) | −0.784954 | − | 5.09801i | −0.0266124 | − | 0.172839i | ||||
\(871\) | 0.280740 | − | 0.486256i | 0.00951252 | − | 0.0164762i | ||||
\(872\) | −38.7726 | − | 42.4877i | −1.31300 | − | 1.43882i | ||||
\(873\) | −20.0487 | − | 17.2741i | −0.678545 | − | 0.584638i | ||||
\(874\) | 9.49471 | + | 9.78840i | 0.321163 | + | 0.331098i | ||||
\(875\) | −2.19044 | − | 8.17482i | −0.0740503 | − | 0.276359i | ||||
\(876\) | 17.3391 | − | 42.6597i | 0.585833 | − | 1.44134i | ||||
\(877\) | 4.52743 | − | 16.8966i | 0.152881 | − | 0.570558i | −0.846397 | − | 0.532553i | \(-0.821233\pi\) |
0.999278 | − | 0.0380056i | \(-0.0121005\pi\) | |||||||
\(878\) | 8.32308 | + | 14.9368i | 0.280890 | + | 0.504092i | ||||
\(879\) | 14.0697 | + | 30.6944i | 0.474559 | + | 1.03530i | ||||
\(880\) | −5.04690 | + | 7.62784i | −0.170131 | + | 0.257135i | ||||
\(881\) | − | 46.1363i | − | 1.55437i | −0.629272 | − | 0.777185i | \(-0.716647\pi\) | ||
0.629272 | − | 0.777185i | \(-0.283353\pi\) | |||||||
\(882\) | −4.55711 | + | 22.1594i | −0.153446 | + | 0.746145i | ||||
\(883\) | 19.7311 | − | 19.7311i | 0.664003 | − | 0.664003i | −0.292318 | − | 0.956321i | \(-0.594427\pi\) |
0.956321 | + | 0.292318i | \(0.0944265\pi\) | |||||||
\(884\) | −12.5876 | − | 53.4373i | −0.423367 | − | 1.79729i | ||||
\(885\) | −0.985345 | − | 5.80979i | −0.0331220 | − | 0.195294i | ||||
\(886\) | 22.8863 | + | 6.50748i | 0.768879 | + | 0.218623i | ||||
\(887\) | 29.7760 | − | 17.1912i | 0.999780 | − | 0.577223i | 0.0915965 | − | 0.995796i | \(-0.470803\pi\) |
0.908183 | + | 0.418573i | \(0.137470\pi\) | |||||||
\(888\) | 0.488772 | − | 3.48136i | 0.0164021 | − | 0.116827i | ||||
\(889\) | −19.5891 | − | 11.3098i | −0.656999 | − | 0.379318i | ||||
\(890\) | −8.62694 | − | 8.89378i | −0.289176 | − | 0.298120i | ||||
\(891\) | 3.38485 | − | 29.7234i | 0.113397 | − | 0.995772i | ||||
\(892\) | 0.195000 | − | 6.40020i | 0.00652909 | − | 0.214295i | ||||
\(893\) | −11.2171 | − | 41.8626i | −0.375364 | − | 1.40088i | ||||
\(894\) | 13.9399 | + | 1.52587i | 0.466220 | + | 0.0510327i | ||||
\(895\) | −7.98697 | + | 4.61128i | −0.266975 | + | 0.154138i | ||||
\(896\) | 5.91741 | + | 13.3584i | 0.197687 | + | 0.446273i | ||||
\(897\) | 18.9574 | + | 13.4595i | 0.632970 | + | 0.449399i | ||||
\(898\) | −38.6327 | − | 23.0961i | −1.28919 | − | 0.770726i | ||||
\(899\) | 13.2008 | + | 13.2008i | 0.440272 | + | 0.440272i | ||||
\(900\) | −26.5175 | − | 5.87564i | −0.883917 | − | 0.195855i | ||||
\(901\) | −3.36115 | + | 3.36115i | −0.111976 | + | 0.111976i | ||||
\(902\) | 11.2417 | + | 44.6644i | 0.374306 | + | 1.48716i | ||||
\(903\) | 0.916621 | + | 1.99969i | 0.0305033 | + | 0.0665457i | ||||
\(904\) | −6.34470 | + | 3.28629i | −0.211022 | + | 0.109300i | ||||
\(905\) | −3.89178 | − | 6.74076i | −0.129367 | − | 0.224070i | ||||
\(906\) | 36.9903 | + | 14.3823i | 1.22892 | + | 0.477821i | ||||
\(907\) | −53.7121 | + | 14.3921i | −1.78348 | + | 0.477883i | −0.991211 | − | 0.132287i | \(-0.957768\pi\) |
−0.792271 | + | 0.610170i | \(0.791101\pi\) | |||||||
\(908\) | −3.94850 | − | 4.19666i | −0.131035 | − | 0.139271i | ||||
\(909\) | 1.61760 | + | 21.7591i | 0.0536524 | + | 0.721704i | ||||
\(910\) | 0.0940295 | − | 6.17382i | 0.00311705 | − | 0.204660i | ||||
\(911\) | −6.01435 | + | 10.4172i | −0.199264 | + | 0.345136i | −0.948290 | − | 0.317405i | \(-0.897189\pi\) |
0.749026 | + | 0.662541i | \(0.230522\pi\) | |||||||
\(912\) | −19.0457 | − | 15.3485i | −0.630667 | − | 0.508238i | ||||
\(913\) | 6.53085 | + | 11.3118i | 0.216140 | + | 0.374365i | ||||
\(914\) | 35.4557 | − | 19.7566i | 1.17277 | − | 0.653491i | ||||
\(915\) | −8.51940 | − | 10.2887i | −0.281643 | − | 0.340136i | ||||
\(916\) | 8.36863 | + | 35.5268i | 0.276507 | + | 1.17384i | ||||
\(917\) | −11.3338 | − | 11.3338i | −0.374275 | − | 0.374275i | ||||
\(918\) | −1.42890 | + | 41.0180i | −0.0471606 | + | 1.35380i | ||||
\(919\) | −11.8860 | −0.392084 | −0.196042 | − | 0.980595i | \(-0.562809\pi\) | ||||
−0.196042 | + | 0.980595i | \(0.562809\pi\) | |||||||
\(920\) | 1.13952 | + | 5.19050i | 0.0375690 | + | 0.171126i | ||||
\(921\) | −1.00404 | + | 10.6730i | −0.0330844 | + | 0.351687i | ||||
\(922\) | −2.54336 | − | 0.723179i | −0.0837611 | − | 0.0238166i | ||||
\(923\) | −0.212633 | − | 0.0569747i | −0.00699889 | − | 0.00187535i | ||||
\(924\) | −11.8568 | − | 8.97349i | −0.390059 | − | 0.295206i | ||||
\(925\) | 3.13773 | − | 0.840752i | 0.103168 | − | 0.0276438i | ||||
\(926\) | 0.117375 | − | 7.70666i | 0.00385719 | − | 0.253257i | ||||
\(927\) | 53.8521 | − | 18.8077i | 1.76873 | − | 0.617725i | ||||
\(928\) | −13.1405 | + | 11.2775i | −0.431357 | + | 0.370204i | ||||
\(929\) | −3.44934 | − | 1.99148i | −0.113169 | − | 0.0653382i | 0.442347 | − | 0.896844i | \(-0.354146\pi\) |
−0.555516 | + | 0.831506i | \(0.687479\pi\) | |||||||
\(930\) | −9.40592 | + | 4.13934i | −0.308432 | + | 0.135734i | ||||
\(931\) | −18.1846 | − | 4.87255i | −0.595977 | − | 0.159692i | ||||
\(932\) | −5.68627 | − | 10.5805i | −0.186260 | − | 0.346576i | ||||
\(933\) | −1.84710 | + | 4.97355i | −0.0604712 | + | 0.162827i | ||||
\(934\) | −17.3630 | + | 4.37013i | −0.568136 | + | 0.142995i | ||||
\(935\) | 12.7711i | 0.417659i | ||||||||
\(936\) | −36.6957 | − | 19.8132i | −1.19944 | − | 0.647615i | ||||
\(937\) | 26.0017i | 0.849438i | 0.905325 | + | 0.424719i | \(0.139627\pi\) | ||||
−0.905325 | + | 0.424719i | \(0.860373\pi\) | |||||||
\(938\) | 0.0509256 | + | 0.202333i | 0.00166278 | + | 0.00660642i | ||||
\(939\) | −5.11744 | + | 0.867921i | −0.167001 | + | 0.0283235i | ||||
\(940\) | 4.86594 | − | 16.1727i | 0.158709 | − | 0.527496i | ||||
\(941\) | −41.3717 | − | 11.0855i | −1.34868 | − | 0.361378i | −0.489033 | − | 0.872265i | \(-0.662650\pi\) |
−0.859648 | + | 0.510888i | \(0.829317\pi\) | |||||||
\(942\) | −19.0757 | − | 2.08803i | −0.621519 | − | 0.0680318i | ||||
\(943\) | 23.1747 | + | 13.3799i | 0.754673 | + | 0.435710i | ||||
\(944\) | −14.8141 | + | 13.1109i | −0.482159 | + | 0.426724i | ||||
\(945\) | −1.28184 | + | 4.43450i | −0.0416984 | + | 0.144254i | ||||
\(946\) | 4.62252 | + | 0.0704026i | 0.150291 | + | 0.00228899i | ||||
\(947\) | 17.6066 | − | 4.71769i | 0.572139 | − | 0.153304i | 0.0388617 | − | 0.999245i | \(-0.487627\pi\) |
0.533277 | + | 0.845940i | \(0.320960\pi\) | |||||||
\(948\) | 6.14147 | + | 7.89456i | 0.199466 | + | 0.256403i | ||||
\(949\) | 63.1062 | + | 16.9093i | 2.04851 | + | 0.548898i | ||||
\(950\) | 6.18164 | − | 21.7403i | 0.200559 | − | 0.705349i | ||||
\(951\) | 13.5158 | + | 9.59602i | 0.438280 | + | 0.311172i | ||||
\(952\) | 17.1831 | + | 10.9965i | 0.556908 | + | 0.356400i | ||||
\(953\) | 16.9031 | 0.547545 | 0.273772 | − | 0.961795i | \(-0.411729\pi\) | ||||
0.273772 | + | 0.961795i | \(0.411729\pi\) | |||||||
\(954\) | 0.212823 | + | 3.60448i | 0.00689040 | + | 0.116699i | ||||
\(955\) | −8.97930 | − | 8.97930i | −0.290563 | − | 0.290563i | ||||
\(956\) | 12.6440 | − | 20.4363i | 0.408936 | − | 0.660958i | ||||
\(957\) | 6.13567 | − | 16.5211i | 0.198338 | − | 0.534051i | ||||
\(958\) | −5.88985 | − | 10.5701i | −0.190292 | − | 0.341503i | ||||
\(959\) | −6.45774 | − | 11.1851i | −0.208531 | − | 0.361187i | ||||
\(960\) | −3.16465 | − | 8.99131i | −0.102138 | − | 0.290193i | ||||
\(961\) | 3.09688 | − | 5.36395i | 0.0998993 | − | 0.173031i | ||||
\(962\) | 4.98709 | + | 0.0759553i | 0.160790 | + | 0.00244890i | ||||
\(963\) | −19.7907 | − | 29.0647i | −0.637745 | − | 0.936597i | ||||
\(964\) | −6.07410 | − | 0.185065i | −0.195634 | − | 0.00596053i | ||||
\(965\) | 3.47708 | − | 0.931682i | 0.111931 | − | 0.0299919i | ||||
\(966\) | −8.53881 | + | 1.31474i | −0.274732 | + | 0.0423011i | ||||
\(967\) | 1.50617 | + | 2.60876i | 0.0484351 | + | 0.0838921i | 0.889227 | − | 0.457467i | \(-0.151243\pi\) |
−0.840791 | + | 0.541359i | \(0.817910\pi\) | |||||||
\(968\) | −0.122122 | + | 0.0632540i | −0.00392514 | + | 0.00203306i | ||||
\(969\) | −34.0042 | − | 3.19889i | −1.09237 | − | 0.102763i | ||||
\(970\) | 8.32230 | − | 2.09465i | 0.267213 | − | 0.0672553i | ||||
\(971\) | −35.4934 | + | 35.4934i | −1.13904 | + | 1.13904i | −0.150413 | + | 0.988623i | \(0.548060\pi\) |
−0.988623 | + | 0.150413i | \(0.951940\pi\) | |||||||
\(972\) | 22.5714 | + | 21.5065i | 0.723978 | + | 0.689823i | ||||
\(973\) | 1.30066 | + | 1.30066i | 0.0416972 | + | 0.0416972i | ||||
\(974\) | 9.55632 | − | 15.9848i | 0.306204 | − | 0.512186i | ||||
\(975\) | 3.60914 | − | 38.3652i | 0.115585 | − | 1.22867i | ||||
\(976\) | −14.2222 | + | 42.5297i | −0.455242 | + | 1.36134i | ||||
\(977\) | 8.03784 | − | 4.64065i | 0.257153 | − | 0.148467i | −0.365882 | − | 0.930661i | \(-0.619233\pi\) |
0.623035 | + | 0.782194i | \(0.285899\pi\) | |||||||
\(978\) | −13.6826 | − | 10.0313i | −0.437522 | − | 0.320766i | ||||
\(979\) | −10.9570 | − | 40.8920i | −0.350186 | − | 1.30691i | ||||
\(980\) | −5.02718 | − | 5.34314i | −0.160587 | − | 0.170680i | ||||
\(981\) | −50.4283 | + | 34.3375i | −1.61005 | + | 1.09631i | ||||
\(982\) | −8.50923 | + | 8.25392i | −0.271540 | + | 0.263393i | ||||
\(983\) | 11.0480 | + | 6.37856i | 0.352376 | + | 0.203444i | 0.665731 | − | 0.746192i | \(-0.268120\pi\) |
−0.313355 | + | 0.949636i | \(0.601453\pi\) | |||||||
\(984\) | −44.1864 | − | 18.7486i | −1.40861 | − | 0.597684i | ||||
\(985\) | 12.0963 | − | 6.98379i | 0.385420 | − | 0.222522i | ||||
\(986\) | −6.61290 | + | 23.2570i | −0.210598 | + | 0.740655i | ||||
\(987\) | 25.7394 | + | 9.55919i | 0.819294 | + | 0.304273i | ||||
\(988\) | 18.2590 | − | 29.5118i | 0.580897 | − | 0.938897i | ||||
\(989\) | 1.89932 | − | 1.89932i | 0.0603949 | − | 0.0603949i | ||||
\(990\) | 7.25214 | + | 6.44349i | 0.230488 | + | 0.204788i | ||||
\(991\) | − | 6.60967i | − | 0.209963i | −0.994474 | − | 0.104982i | \(-0.966522\pi\) | ||
0.994474 | − | 0.104982i | \(-0.0334784\pi\) | |||||||
\(992\) | 28.4785 | + | 19.4725i | 0.904192 | + | 0.618252i | ||||
\(993\) | 15.1424 | − | 21.3278i | 0.480530 | − | 0.676817i | ||||
\(994\) | 0.0714560 | − | 0.0398167i | 0.00226645 | − | 0.00126291i | ||||
\(995\) | −2.46340 | + | 9.19352i | −0.0780949 | + | 0.291454i | ||||
\(996\) | −13.5075 | − | 1.68708i | −0.428002 | − | 0.0534570i | ||||
\(997\) | −9.80194 | − | 36.5814i | −0.310431 | − | 1.15854i | −0.928169 | − | 0.372159i | \(-0.878618\pi\) |
0.617738 | − | 0.786384i | \(-0.288049\pi\) | |||||||
\(998\) | −32.8894 | + | 31.9026i | −1.04109 | + | 1.00986i | ||||
\(999\) | −3.58211 | − | 1.03545i | −0.113333 | − | 0.0327602i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 144.2.u.a.83.8 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.15 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.5 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.8 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.15 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.10 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.7 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.15 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.7 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.10 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.10 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.8 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.5 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.8 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.10 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.15 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.15 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.8 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.8 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.15 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.15 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.8 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.8 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.15 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.5 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.7 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.7 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.5 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.10 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.10 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.10 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.10 | 88 | 36.31 | odd | 6 |